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1

Taylor-Robinson, Marika M. « Semiclassical stability of supergravity vacua ». Physical Review D 55, no 8 (15 avril 1997) : 4822–38. http://dx.doi.org/10.1103/physrevd.55.4822.

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2

Gómez-Reino, Marta, et Claudio A. Scrucca. « Metastable supergravity vacua withFandDsupersymmetry breaking ». Journal of High Energy Physics 2007, no 08 (31 août 2007) : 091. http://dx.doi.org/10.1088/1126-6708/2007/08/091.

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3

Cowdall, P. M., et P. K. Townsend. « Gauged supergravity vacua from intersecting branes ». Physics Letters B 429, no 3-4 (juin 1998) : 281–88. http://dx.doi.org/10.1016/s0370-2693(98)00445-6.

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4

Antoniadis, I., C. Bachas et A. Sagnotti. « Gauged supergravity vacua in string theory ». Physics Letters B 235, no 3-4 (février 1990) : 255–60. http://dx.doi.org/10.1016/0370-2693(90)91960-j.

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5

HU, SEN, ZHI HU et RUORAN ZHANG. « GENERALIZED RICCI FLOW AND SUPERGRAVITY VACUUM SOLUTIONS ». International Journal of Modern Physics A 25, no 12 (10 mai 2010) : 2535–49. http://dx.doi.org/10.1142/s0217751x10048238.

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We first give a proof that the supersymmetric configurations satisfy the equations of motion for type II supergravity. In flux compactifications, the string vacua preserving N = 2 supersymmetry are the twisted generalized Calabi–Yau manifold. The modulus space of the string vacua can be constructed. We discuss the generalized Dirac operator which adds a torsional term to the ordinary Dirac operator and compute its index by the path integral method. Via the variation of the action of supergravity one can introduce the generalized Ricci flow equations. We consider deforming the manifold with the generalized Ricci flow. Finally, we consider the linear stability of the fixed points of the generalized Ricci flow.
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Behrndt, Klaus, et Swapna Mahapatra. « De Sitter vacua fromN=2 gauged supergravity ». Journal of High Energy Physics 2004, no 01 (30 janvier 2004) : 068. http://dx.doi.org/10.1088/1126-6708/2004/01/068.

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7

Freedman, Daniel Z., et Boris Körs. « Kähler anomalies in supergravity and flux vacua ». Journal of High Energy Physics 2006, no 11 (23 novembre 2006) : 067. http://dx.doi.org/10.1088/1126-6708/2006/11/067.

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8

Inverso, Gianluca. « Vacua and Gaugings of MaximalD= 4 Supergravity ». Journal of Physics : Conference Series 383 (1 octobre 2012) : 012001. http://dx.doi.org/10.1088/1742-6596/383/1/012001.

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9

Kehagias, A. « De Sitter vacua in simple extended supergravity ». Fortschritte der Physik 57, no 5-7 (15 avril 2009) : 606–10. http://dx.doi.org/10.1002/prop.200900014.

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10

Malek, Emanuel, et Valentí Vall Camell. « Consistent truncations around half-maximal AdS5 vacua of 11-dimensional supergravity ». Classical and Quantum Gravity 39, no 7 (17 mars 2022) : 075026. http://dx.doi.org/10.1088/1361-6382/ac566a.

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Abstract We use exceptional field theory to systematically study all possible consistent truncations around any M-theory half-maximal vacua of the warped product form AdS5 × M 3 × S 2 × S 1, with M 3 a three-dimensional manifold. We show that, for any of these vacua, only truncations with at most three vector multiplets are consistent. Furthermore, the possible gaugings are restricted to be either SU(2) × U(1) or ISO(3) × U(1) where, in the first case, the U(1) factor can have different embeddings inside the global symmetry group SO(5, n), where n ⩽ 3 equals the number of vector multiplets. This rules out the possibility of any other gauging arising as a consistent truncation around the aforementioned M-theory vacua. Our analysis shows that of the many flows from half-maximal to quarter-maximal AdS5 vacua constructed in five-dimensional supergravity in Bobev (2018 J. High Energy Phys. 6 86), only those corresponding to an adjoint mass deformation in the dual SCFT can be uplifted to 11-dimensional supergravity. The other flows are five-dimensional artefacts without a higher-dimensional origin. Furthermore, consistent truncations with vector multiplets exist only if the vacuum satisfies certain conditions, which we derive.
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11

Chatrabhuti, Auttakit, et Parinya Karndumri. « Vacua of N = 10 three-dimensional gauged supergravity ». Classical and Quantum Gravity 28, no 12 (27 mai 2011) : 125027. http://dx.doi.org/10.1088/0264-9381/28/12/125027.

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12

Gómez-Reino, Marta, et Claudio A. Scrucca. « Locally stable non-supersymmetric Minkowski vacua in supergravity ». Journal of High Energy Physics 2006, no 05 (5 mai 2006) : 015. http://dx.doi.org/10.1088/1126-6708/2006/05/015.

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13

Fr, Pietro, Mario Trigiante et Antoine Van Proeyen. « 2 supergravity models with stable de Sitter vacua ». Classical and Quantum Gravity 20, no 12 (20 mai 2003) : S487—S493. http://dx.doi.org/10.1088/0264-9381/20/12/314.

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14

Serone, Marco, et Alexander Westphal. « Moduli stabilization in meta-stable heterotic supergravity vacua ». Journal of High Energy Physics 2007, no 08 (28 août 2007) : 080. http://dx.doi.org/10.1088/1126-6708/2007/08/080.

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15

Cvetič, Mirjam, Stephen Griffies et Soo-Jong Rey. « Non-perturbative stability of supergravity and superstring vacua ». Nuclear Physics B 389, no 1 (janvier 1993) : 3–24. http://dx.doi.org/10.1016/0550-3213(93)90283-u.

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16

Khavaev, Alexei, Krzysztof Pilch et Nicholas P. Warner. « New vacua of gauged supergravity in five dimensions ». Physics Letters B 487, no 1-2 (août 2000) : 14–21. http://dx.doi.org/10.1016/s0370-2693(00)00795-4.

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17

Kerimo, J., James T. Liu, H. Lü et C. N. Pope. « Variant = (1,1) supergravity and (Minkowski) 4 × S 2 vacua ». Classical and Quantum Gravity 21, no 13 (11 juin 2004) : 3287–300. http://dx.doi.org/10.1088/0264-9381/21/13/011.

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18

Baer, Howard, Michal Brhlik et Diego Castaño. « Constraints on the minimal supergravity model from nonstandard vacua ». Physical Review D 54, no 11 (1 décembre 1996) : 6944–56. http://dx.doi.org/10.1103/physrevd.54.6944.

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19

DallʼAgata, G., et G. Inverso. « On the vacua of gauged supergravity in 4 dimensions ». Nuclear Physics B 859, no 1 (juin 2012) : 70–95. http://dx.doi.org/10.1016/j.nuclphysb.2012.01.023.

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20

BURINSKII, ALEXANDER. « CASIMIR ENERGY AND VACUA FOR SUPERCONDUCTING BALL IN SUPERGRAVITY ». International Journal of Modern Physics A 17, no 06n07 (20 mars 2002) : 920–25. http://dx.doi.org/10.1142/s0217751x02010315.

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Casimir energy for solid conducting ball is considered on the base of some finite models. One model is physical and built of a battery of parallel metallic plates. Two finite models are based on the Higgs model of superconductivity. One of them is supersymmetric and based on the Witten field model for superconducting strings. Treatment shows that contribution of Casimir energy can be very essential for superdence state in the neutron stars and nuclear matter.
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21

McORIST, JOCK. « THE REVIVAL OF (0, 2) SIGMA MODELS ». International Journal of Modern Physics A 26, no 01 (10 janvier 2011) : 1–41. http://dx.doi.org/10.1142/s0217751x11051366.

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Compactifications of the heterotic string are a viable route to phenomenologically realistic vacua and interesting new mathematics. While supergravity aspects of heterotic compactifications are largely well-understood their worldsheet description remains largely unexplored. We review recent work in developing linear sigma model techniques aimed at elucidating the underlying worldsheet description.
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22

Fr$eacute$, Pietro, Mario Trigiante et Antoine Van Proeyen. « Stable de Sitter vacua from $\Script N$ $equal$ 2 supergravity ». Classical and Quantum Gravity 19, no 15 (24 juillet 2002) : 4167–93. http://dx.doi.org/10.1088/0264-9381/19/15/319.

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23

Cosemans, Bert, et Geert Smet. « Stable de Sitter vacua in N = 2, D = 5 supergravity ». Classical and Quantum Gravity 22, no 12 (26 mai 2005) : 2359–80. http://dx.doi.org/10.1088/0264-9381/22/12/004.

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24

Chamseddine, Ali H., et Mikhail S. Volkov. « Non-Abelian vacua in D = 5, N = 4 gauged supergravity ». Journal of High Energy Physics 2001, no 04 (17 avril 2001) : 023. http://dx.doi.org/10.1088/1126-6708/2001/04/023.

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25

Singh, Harvendra. « New supersymmetric vacua for D=4, N=4 gauged supergravity ». Physics Letters B 429, no 3-4 (juin 1998) : 304–12. http://dx.doi.org/10.1016/s0370-2693(98)00463-8.

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26

Cao, Zhen-Bin. « Supersymmetric AdS 4 vacua in ${\mathscr{N}}=3$ gauged supergravity ». Chinese Physics C 42, no 5 (mai 2018) : 053104. http://dx.doi.org/10.1088/1674-1137/42/5/053104.

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27

Malek, Emanuel, et Henning Samtleben. « Ten-dimensional origin of Minkowski vacua in N=8 supergravity ». Physics Letters B 776 (janvier 2018) : 64–71. http://dx.doi.org/10.1016/j.physletb.2017.11.011.

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28

Cvetič, Mirjam, et Donam Youm. « BPS saturated dyonic black holes of N = 8 supergravity vacua ». Nuclear Physics B - Proceedings Supplements 46, no 1-3 (mars 1996) : 56–66. http://dx.doi.org/10.1016/0920-5632(96)00007-2.

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29

Froggatt, C. D., R. Nevzorov, H. B. Nielsen et A. W. Thomas. « Predicting the SUSY breaking scale in SUGRA models with degenerate vacua ». International Journal of Modern Physics A 35, no 01 (10 janvier 2020) : 2050007. http://dx.doi.org/10.1142/s0217751x20500074.

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In [Formula: see text] supergravity, the scalar potential may have supersymmetric (SUSY) and nonsupersymmetric Minkowski vacua (associated with supersymmetric and physical phases) with vanishing energy density. In the supersymmetric Minkowski (second) phase, some breakdown of SUSY may be induced by nonperturbative effects in the observable sector that give rise to a tiny positive vacuum energy density. Postulating the exact degeneracy of the physical and second vacua as well as assuming that at high energies the couplings in both phases are almost identical, one can estimate the dark energy density in these vacua. It is mostly determined by the SUSY breaking scale [Formula: see text] in the physical phase. Exploring the two-loop renormalization group (RG) flow of couplings in these vacua, we find that the measured value of the cosmological constant can be reproduced if [Formula: see text] varies from 20 TeV to 400 TeV. We also argue that this prediction for the SUSY breaking scale is consistent with the upper bound on [Formula: see text] in the higgsino dark matter scenario.
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30

Liu, James T., Manavendra Mahato et Diana Vaman. « Mapping the G -structures and supersymmetric vacua of five-dimensional supergravity ». Classical and Quantum Gravity 24, no 5 (7 février 2007) : 1115–43. http://dx.doi.org/10.1088/0264-9381/24/5/006.

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31

Güven, R., James T. Liu, C. N. Pope et E. Sezgin. « Fine tuning and six-dimensional gauged N =(1, 0) supergravity vacua ». Classical and Quantum Gravity 21, no 4 (15 janvier 2004) : 1001–14. http://dx.doi.org/10.1088/0264-9381/21/4/019.

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32

DallʼAgata, G., et G. Inverso. « de Sitter vacua in N=8 supergravity and slow-roll conditions ». Physics Letters B 718, no 3 (janvier 2013) : 1132–36. http://dx.doi.org/10.1016/j.physletb.2012.11.062.

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33

Louis, Jan, et Constantin Muranaka. « Moduli spaces of AdS5 vacua in N $$ \mathcal{N} $$ = 2 supergravity ». Journal of High Energy Physics 2016, no 4 (avril 2016) : 1–15. http://dx.doi.org/10.1007/jhep04(2016)178.

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34

FROGGATT, C., R. NEVZOROV et H. B. NIELSEN. « DARK ENERGY DENSITY IN MODELS WITH SPLIT SUPERSYMMETRY AND DEGENERATE VACUA ». International Journal of Modern Physics A 27, no 11 (30 avril 2012) : 1250063. http://dx.doi.org/10.1142/s0217751x12500637.

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In N = 1 supergravity supersymmetric and nonsupersymmetric Minkowski vacua originating in the hidden sector can be degenerate. In the supersymmetric phase in flat Minkowski space, nonperturbative supersymmetry breakdown may take place in the observable sector, inducing a nonzero and positive vacuum energy density. Assuming that such a supersymmetric phase and the phase in which we live are degenerate, we estimate the value of the cosmological constant. We argue that the observed value of the dark energy density can be reproduced in the split SUSY scenario of SUSY breaking if the SUSY breaking scale is of order of 1010 GeV.
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35

Dalianis, Ioannis, Alex Kehagias, Ioannis Taskas et George Tringas. « On the Vacuum Structure of the N=4 Conformal Supergravity ». Universe 7, no 11 (28 octobre 2021) : 409. http://dx.doi.org/10.3390/universe7110409.

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We consider N=4 conformal supergravity with an arbitrary holomorphic function of the complex scalar S which parametrizes the SU(1,1)/U(1) coset. Assuming non-vanishings vevs for S and the scalars in a symmetric matrix Eij of the 10¯ of SU(4) R-symmetry group, we determine the vacuum structure of the theory. We find that the possible vacua are classified by the number of zero eigenvalues of the scalar matrix and the spacetime is either Minkowski, de Sitter, or anti-de Sitter. We determine the spectrum of the scalar fluctuations and we find that it contains tachyonic states which, however, can be removed by appropriate choice of the unspecified at the supergravity level holomorphic function. Finally, we also establish that S-supersymmetry is always broken whereas Q-supersymmetry exists only on flat Minkowski spacetime.
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36

Bovy, Jo, Dieter Lüst et Dimitrios Tsimpis. « Script N = 1,2 supersymmetric vacua of IIA supergravity and SU(2) structures ». Journal of High Energy Physics 2005, no 08 (17 août 2005) : 056. http://dx.doi.org/10.1088/1126-6708/2005/08/056.

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37

Gómez-Reino, Marta, Jan Louis et Claudio A. Scrucca. « No metastable de Sitter vacua in 𝒩 = 2 supergravity with only hypermultiplets ». Journal of High Energy Physics 2009, no 02 (2 février 2009) : 003. http://dx.doi.org/10.1088/1126-6708/2009/02/003.

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38

Antoniadis, Ignatios, et Rob Knoops. « Gauge R-symmetry and de Sitter vacua in supergravity and string theory ». Nuclear Physics B 886 (septembre 2014) : 43–62. http://dx.doi.org/10.1016/j.nuclphysb.2014.06.008.

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39

Behrndt, Klaus, et Gianguido Dall'Agata. « Vacua of N=2 gauged supergravity derived from non-homogeneous quaternionic spaces ». Nuclear Physics B 627, no 1-2 (avril 2002) : 357–80. http://dx.doi.org/10.1016/s0550-3213(02)00053-6.

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40

Castellani, L., R. D'Auria et P. Fré. « What we learn on the heterotic string vacua from anomaly-free supergravity ». Physics Letters B 196, no 3 (octobre 1987) : 349–54. http://dx.doi.org/10.1016/0370-2693(87)90746-5.

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41

Bachlechner, Thomas C., David Marsh, Liam McAllister et Timm Wrase. « Supersymmetric vacua in random supergravity ». Journal of High Energy Physics 2013, no 1 (janvier 2013). http://dx.doi.org/10.1007/jhep01(2013)136.

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42

Partipilo, Dario. « New methods for old problems : vacua of maximal D = 7 supergravities ». Journal of High Energy Physics 2022, no 9 (13 septembre 2022). http://dx.doi.org/10.1007/jhep09(2022)096.

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Abstract Finding vacua of supergravity theories is an outstanding problem which has been tackled in several ways, and with this work we add a new method to the puzzle. We analyse the scalar sector of maximal gauged supergravity theories in seven space-time dimensions. We look for vacua of the theory by varying the embedding tensor, instead of directly minimising the scalar potential. The set of quadratic constraints arising from this procedure has been solved by means of Evolution Strategies optimisation techniques, also adopted in Artificial Intelligence studies. We develop some methods to reconstruct and obtain analytical results starting from numerical outcomes, thus obtaining the complete mass spectra. In addition to some of the known vacua, we also obtain two new Minkowski vacua.
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43

Rigatos, Konstantinos S. « Non-integrability in AdS3 vacua ». Journal of High Energy Physics 2021, no 2 (février 2021). http://dx.doi.org/10.1007/jhep02(2021)032.

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Abstract We ask the question of classical integrability for certain (classes of) supergravity vacua that contain an AdS3 factor arising in massive IIA and IIB theories and realizing various and different amounts of supersymmetry. Our approach is based on a well-established method of analytic non-integrability for Hamiltonian systems. To detect a non-integrable sector we consider a non-trivially wrapped string soliton and study its fluctuations. We answer in the negative for each and every one of the supergravity solutions. That is, of course, modulo very specific limits where the metrics reduce to the AdS3 × S3 × $$ {\tilde{S}}^3 $$ S ˜ 3 × S1 and AdS3 × S3 × T4 solutions which are known to be integrable.
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44

Bansal, Sukruti, Silvia Nagy, Antonio Padilla et Ivonne Zavala. « Unimodular vs nilpotent superfield approach to pure dS supergravity ». Journal of High Energy Physics 2021, no 1 (janvier 2021). http://dx.doi.org/10.1007/jhep01(2021)146.

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Abstract Recent progress in understanding de Sitter spacetime in supergravity and string theory has led to the development of a four dimensional supergravity with spontaneously broken supersymmetry allowing for de Sitter vacua, also called de Sitter supergravity. One approach makes use of constrained (nilpotent) superfields, while an alternative one couples supergravity to a locally supersymmetric generalization of the Volkov-Akulov goldstino action. These two approaches have been shown to give rise to the same 4D action. A novel approach to de Sitter vacua in supergravity involves the generalisation of unimodular gravity to supergravity using a super-Stückelberg mechanism. In this paper, we make a connection between this new approach and the previous two which are in the context of nilpotent superfields and the goldstino brane. We show that upon appropriate field redefinitions, the 4D actions match up to the cubic order in the fields. This points at the possible existence of a more general framework to obtain de Sitter spacetimes from high-energy theories.
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45

Eloy, Camille. « Kaluza-Klein spectrometry for ${\rm AdS_{3}}$ vacua ». SciPost Physics 10, no 6 (4 juin 2021). http://dx.doi.org/10.21468/scipostphys.10.6.131.

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We use exceptional field theory to compute Kaluza-Klein mass spectra around {AdS_{3}}AdS3 vacua that sit in half-maximal gauged supergravity in three dimensions. The formalism applies to any vacuum that arises from a consistent truncation of higher-dimensional supergravity, no matter what symmetries are preserved. We illustrate its efficiency by computing the spectra of {N}=(2,0)N=(2,0) and {N}=(1,1)N=(1,1) six-dimensional supergravities on {AdS_{3}}\times S^{3}AdS3×S3 and of type II supergravity on {AdS_{3}}\times S^{3}\times S^{3}\times S^{1}AdS3×S3×S3×S1.
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46

Berman, David, Thomas Fischbacher, Gianluca Inverso et Benjamin Scellier. « Vacua of ω-deformed SO(8) supergravity ». Journal of High Energy Physics 2022, no 6 (juin 2022). http://dx.doi.org/10.1007/jhep06(2022)133.

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Abstract We perform a detailed analysis of the vacua of ω-deformed SO(8) supergravity in four dimensions. In particular, using Tensorflow-based numerical methods, we track how the equilibria of the theory change when varying the electric-magnetic deformation parameter ω. Apart from describing various properties of different equilibria (390 in total), we show that as ω is deformed, the SO(3), $$ \mathcal{N} $$ N = 1 vacuum of the de Wit-Nicolai theory becomes equivalent to a critical point in U(4) ⋉ ℝ12 gauged supergravity with a known uplift in IIB supergravity. The procedure employed here to obtain a new gauging with a guaranteed equilibrium is generic and allows one to obtain further admissible noncompact gaugings via ω-deformation, all of which have guaranteed critical points, and some of which may be novel upliftable solutions.
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47

Dao, H. L., et Parinya Karndumri. « $$dS_5$$ vacua from matter-coupled 5D $$N=4$$ gauged supergravity ». European Physical Journal C 79, no 9 (septembre 2019). http://dx.doi.org/10.1140/epjc/s10052-019-7317-z.

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Abstract We study $$dS_5$$dS5 vacua within matter-coupled $$N=4$$N=4 gauged supergravity in five dimensions using the embedding tensor formalism. With a simple ansatz for solving the extremization and positivity of the scalar potential, we derive a set of conditions for the gauged supergravity to admit $$dS_5$$dS5 as maximally symmetric background solutions. The results provide a new approach for finding $$dS_5$$dS5 vacua in five-dimensional $$N=4$$N=4 gauged supergravity and explain a number of notable features pointed out in previous works. These conditions also determine the form of the gauge groups to be $$SO(1,1)\times G_{\text {nc}}$$SO(1,1)×Gnc with $$G_{\text {nc}}$$Gnc being a non-abelian non-compact group. In general, $$G_{\text {nc}}$$Gnc can be a product of SO(1, 2) and a smaller non-compact group $${G^{\prime }}_{{\text {nc}}}$$G′nc together with (possibly) a compact group. The SO(1, 1) factor is gauged by one of the six graviphotons, that is singlet under $$SO(5)\sim USp(4)$$SO(5)∼USp(4) R-symmetry. The compact parts of SO(1, 2) and $${G^{\prime }}_{{\text {nc}}}$$G′nc are gauged by vector fields from the gravity and vector multiplets, respectively. In addition, we explicitly study $$dS_5$$dS5 vacua for a number of gauge groups and compute scalar masses at the vacua. As in the four-dimensional $$N=4$$N=4 gauged supergravity, all the $$dS_5$$dS5 vacua identified here are unstable.
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48

Louis, Jan, Paul Smyth et Hagen Triendl. « Supersymmetric vacua in N = 2 supergravity ». Journal of High Energy Physics 2012, no 8 (août 2012). http://dx.doi.org/10.1007/jhep08(2012)039.

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49

Dall’Agata, G., G. Inverso et D. Partipilo. « Old and new vacua of 5D maximal supergravity ». Journal of High Energy Physics 2021, no 4 (avril 2021). http://dx.doi.org/10.1007/jhep04(2021)039.

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Abstract We look for critical points with U(2) residual symmetry in 5-dimensional maximally supersymmetric gauged supergravity, by varying the embedding tensor, rather than directly minimizing the scalar potential. We recover all previously known vacua and we find four new vacua, with different gauge groups and cosmological constants. We provide the first example of a maximal supergravity model in D ≥ 4 having critical points with both positive and vanishing cosmological constant. For each vacuum we also compute the full mass spectrum. All results are analytic.
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Malek, Emanuel, Hermann Nicolai et Henning Samtleben. « Tachyonic Kaluza-Klein modes and the AdS swampland conjecture ». Journal of High Energy Physics 2020, no 8 (août 2020). http://dx.doi.org/10.1007/jhep08(2020)159.

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Abstract We compute the Kaluza-Klein spectrum of the non-supersymmetric SO(3) × SO(3)-invariant AdS4 vacuum of 11-dimensional supergravity, whose lowest-lying Kaluza-Klein modes belong to a consistent truncation to 4-dimensional $$ \mathcal{N} $$ N = 8 supergravity and are stable. We show that, nonetheless, the higher Kaluza-Klein modes become tachyonic so that this non-supersymmetric AdS4 vacuum is perturbatively unstable within 11-dimensional supergravity. This represents the first example of unstable higher Kaluza-Klein modes and provides further evidence for the AdS swampland conjecture, which states that there are no stable non-supersymmetric AdS vacua within string theory. We also find 27 infinitesimal moduli amongst the Kaluza-Klein modes, which hints at the existence of a family of non-supersymmetric AdS4 vacua.
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