Journal articles: 'Green-Schwarz mechanism'

1

Tosa, Yasunari. "Generalized Green-Schwarz anomaly cancellation mechanism." Physical Review D 39, no. 6 (March 15, 1989): 1648–54. http://dx.doi.org/10.1103/physrevd.39.1648.

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Sadov, V. "Generalized Green-Schwarz mechanism in F theory." Physics Letters B 388, no. 1 (November 1996): 45–50. http://dx.doi.org/10.1016/0370-2693(96)01134-3.

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Armoni, Adi, Esperanza Lopez, and Stefan Theisen. "Nonplanar Anomalies in Noncommutative Theories and the Green-Schwarz Mechanism." Journal of High Energy Physics 2002, no. 06 (June 24, 2002): 050. http://dx.doi.org/10.1088/1126-6708/2002/06/050.

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Arkani-Hamed, Nima, Michael Dine, and Stephen P. Martin. "Dynamical supersymmetry breaking in models with a Green–Schwarz mechanism." Physics Letters B 431, no. 3-4 (July 1998): 329–38. http://dx.doi.org/10.1016/s0370-2693(98)00494-8.

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Candiello, Antonio, and Kurt Lechner. "The supersymmetric version of the Green-Schwarz anomaly cancellation mechanism." Physics Letters B 332, no. 1-2 (July 1994): 71–76. http://dx.doi.org/10.1016/0370-2693(94)90860-5.

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Lopes Cardoso, Gabriel, and Burt A. Ovrut. "A Green-Schwarz mechanism for D = 4, N = 1 supergravity anomalies." Nuclear Physics B 369, no. 1-2 (January 1992): 351–72. http://dx.doi.org/10.1016/0550-3213(92)90390-w.

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Sagnotti, Augusto. "A note on the Green-Schwarz mechanism in open-string theories." Physics Letters B 294, no. 2 (November 1992): 196–203. http://dx.doi.org/10.1016/0370-2693(92)90682-t.

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Ferrara, S., and M. Villasante. "4D supergravity coupled to an antisymmetric tensor field with Green-Schwarz mechanism." Physics Letters B 186, no. 1 (February 1987): 85–90. http://dx.doi.org/10.1016/0370-2693(87)90517-x.

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Tosa, Yasunari. "Global gauge anomalies for theories with the Green-Schwarz local-anomaly-cancellation mechanism." Physical Review D 40, no. 6 (September 15, 1989): 1934–37. http://dx.doi.org/10.1103/physrevd.40.1934.

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10

Mambrini, Y. "A clear Dark Matter gamma ray line generated by the Green-Schwarz mechanism." Journal of Cosmology and Astroparticle Physics 2009, no. 12 (December 3, 2009): 005. http://dx.doi.org/10.1088/1475-7516/2009/12/005.

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11

GRIMM, RICHARD, MAXIMILIAN HASLER, and CARL HERRMANN. "THE N=2 VECTOR–TENSOR MULTIPLET, CENTRAL CHARGE SUPERSPACE, AND CHERN–SIMONS COUPLINGS." International Journal of Modern Physics A 13, no. 11 (April 30, 1998): 1805–16. http://dx.doi.org/10.1142/s0217751x98000792.

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We present a new, alternative interpretation of the vector–tensor multiplet as a two-form in central charge superspace. This approach provides a geometric description of the (nontrivial) central charge transformations ab initio and is naturally generalized to include couplings of Chern–Simons forms to the antisymmetric tensor gauge field, giving rise to a N=2 supersymmetric version of the Green–Schwarz anomaly cancellation mechanism.

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12

Plauschinn, Erik. "The generalized Green-Schwarz mechanism for type IIB orientifolds with D3- and D7-branes." Journal of High Energy Physics 2009, no. 05 (May 15, 2009): 062. http://dx.doi.org/10.1088/1126-6708/2009/05/062.

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13

IMAZATO, HARUNOBU, SHUN'YA MIZOGUCHI, and MASAYA YATA. "NOTE ON ANOMALY CANCELLATION ON SO(32) HETEROTIC 5-BRANE." Modern Physics Letters A 26, no. 19 (June 21, 2011): 1453–57. http://dx.doi.org/10.1142/s021773231103581x.

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We show that the gauge, gravitational (tangent-bundle) and their mixed anomalies arising from the localized modes near a 5-brane in the SO(32) heterotic string theory cancel with the anomaly inflow from the bulk with the use of the Green–Schwarz mechanism on the brane, similarly to the E8×E8 5-brane case. We also compare our result with Mourad's analysis performed in the small-instanton limit.

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Lionetto, A., and A. Racioppi. "Supersymmetry Breaking in a Minimal Anomalous Extension of the MSSM." ISRN High Energy Physics 2012 (August 16, 2012): 1–31. http://dx.doi.org/10.5402/2012/903106.

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We study a supersymmetry breaking mechanism in the context of a minimal anomalous extension of the MSSM. The anomaly cancellation mechanism is achieved through suitable counterterms in the effective action, that is, the Green-Schwarz terms. We assume that the standard MSSM superpotential is perturbatively realized; that is, all terms allowed by gauge symmetries except for the μ-term which has a nonperturbative origin. The presence of this term is expected in many intersecting D-brane models which can be considered as the ultraviolet completion of our model. We show how soft supersymmetry breaking terms arise in this framework, and we study the effect of some phenomenological constraints on this scenario.

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CECOTTI, S., S. FERRARA, and M. VILLASANTE. "LINEAR MULTIPLETS AND SUPER CHERN-SIMONS FORMS IN 4D-SUPERGRAVITY." International Journal of Modern Physics A 02, no. 06 (December 1987): 1839–69. http://dx.doi.org/10.1142/s0217751x8700096x.

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We explore general properties of matter coupled supergravities with antisymmetric tensor fields embedded in linear multiplets. The four-dimensional supersymmetric version of the Green-Schwarz mechanism leads to the introduction of super Chern-Simons form multiplets whose general component expressions are derived. The use of superconformal techniques allows us to discuss several topics relevant to superstring effective actions and in particular to give simple forms for the string-loop corrections to the Kahler potential and the U(1) anomaly cancelling term present in certain superstring compactifications.

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ARAKI, TAKESHI. "ANOMALY OF DISCRETE FAMILY SYMMETRIES AND GAUGE COUPLING UNIFICATION." International Journal of Modern Physics E 16, no. 05 (June 2007): 1463–78. http://dx.doi.org/10.1142/s0218301307006812.

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Anomaly of a discrete symmetry is defined as the Jacobian of the path-integral measure. Assuming that anomaly at low energy is cancelled by the Green–Schwarz (GS) mechanism at a fundamental scale, we investigate possible Kac–Moody levels for anomalous discrete family symmetries. As the first example we consider discrete abelian Baryon number and Lepton number symmetries in the minimal supersymmetric standard model with see-saw mechanism, and find that the ordinary unification of gauge couplings is not consistent with the GS conditions, indicating a possible existence of further Higgs doublets. Next we consider the recently proposed supersymmetric model with Q6 family symmetry. In this model, the GS conditions are such that the gauge coupling unification appears close to the Planck scale.

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Bonnefoy, Quentin, and Emilian Dudas. "Axions and anomalous U(1)’s." International Journal of Modern Physics A 33, no. 34 (December 10, 2018): 1845001. http://dx.doi.org/10.1142/s0217751x1845001x.

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Inspired by recent studies of high-scale decay constant or flavorful QCD axions, we review and clarify their existence in effective string models with anomalous U(1) gauge groups. We find that such models, when coupled to charged scalars getting vacuum expectation values, always have one light axion, whose mass can only come from nonperturbative effects. If the main nonperturbative effect is from QCD, then it becomes a Peccei–Quinn axion candidate for solving the strong CP problem. We then study simple models with universal Green–Schwarz mechanism and only one charged scalar field: in the minimal gaugino condensation case the axion mass is tied to the supersymmetry breaking scale and cannot be light enough, but slightly refined models maintain a massless axion all the way down to the QCD scale. Both kinds of models can be extended to yield intermediate scale axion decay constants. Finally, we gauge flavorful axion models under an anomalous U(1) and discuss the axion couplings which arise.

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18

Mavromatos, Nick E. "Torsion in String-Inspired Cosmologies and the Universe Dark Sector." Universe 7, no. 12 (December 6, 2021): 480. http://dx.doi.org/10.3390/universe7120480.

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Several aspects of torsion in string-inspired cosmologies are reviewed. In particular, its connection with fundamental, string-model independent, axion fields associated with the massless gravitational multiplet of the string are discussed. It is argued in favour of the role of primordial gravitational anomalies coupled to such axions in inducing inflation of a type encountered in the “Running-Vacuum-Model (RVM)” cosmological framework, without fundamental inflaton fields. The gravitational-anomaly terms owe their existence to the Green–Schwarz mechanism for the (extra-dimensional) anomaly cancellation, and may be non-trivial in such theories in the presence of (primordial) gravitational waves at early stages of the four-dimensional string universe (after compactification). The paper also discusses how the torsion-induced stringy axions can acquire a mass in the post inflationary era, due to non-perturbative effects, thus having the potential to play the role of (a component of) dark matter in such models. Finally, the current-era phenomenology of this model is briefly described with emphasis placed on the possibility of alleviating tensions observed in the current-era cosmological data. A brief phenomenological comparison with other cosmological models in contorted geometries is also made.

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19

Bodner, M., and M. Villasante. "Supersymmetry algebra of antisymmetric tensors with Green-Schwarz mechanisms." Physical Review D 41, no. 10 (May 15, 1990): 3255–58. http://dx.doi.org/10.1103/physrevd.41.3255.

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20

Bodner, M., and M. Villasante. "Erratum: Supersymmetry algebra of antisymmetric tensors with Green-Schwarz mechanisms." Physical Review D 42, no. 8 (October 15, 1990): 2947. http://dx.doi.org/10.1103/physrevd.42.2947.

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21

Skelton, A. E., and A. Franklin. "Infants look longer at colours that adults like when colours are highly saturated." Psychonomic Bulletin & Review 27, no. 1 (December 17, 2019): 78–85. http://dx.doi.org/10.3758/s13423-019-01688-5.

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AbstractThe extent to which aesthetic preferences are ‘innate’ has been highly debated (Reber, Schwarz, & Winkielman, Personality and Social Psychology Review, 8(4), 364–382, 2004). For some types of visual stimuli infants look longer at those that adults prefer. It is unclear whether this is also the case for colour. A lack of relationship in prior studies between how long infants look at different colours and how much adults like those colours might be accounted for by stimulus limitations. For example, stimuli may have been too desaturated for infant vision. In the current study, using saturated colours more suitable for infants, we aim to quantify the relationship between infant looking and adult preference for colour. We take infant looking times at multiple hues from a study of infant colour categorization (Skelton, Catchpole, Abbott, Bosten, & Franklin, Proceedings of the National Academy of Sciences of the United States of America, 114(21), 5545–5550, 2017) and then measure adult preferences and compare these to infant looking. When colours are highly saturated, infants look longer at colours that adults prefer. Both infant looking time and adult preference are greatest for blue hues and are least for green-yellow. Infant looking and adult preference can be partly summarized by activation of the blue-yellow dimension in the early encoding of human colour vision. These findings suggest that colour preference is at least partially rooted in the sensory mechanisms of colour vision, and more broadly that aesthetic judgements may in part be due to underlying sensory biases.

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22

Möbius, P. "Green, M. B.; Schwarz, J. H.; Witten, E., Superstring Theory. Vol. 1: Introduction. Cambridge etc., Cambridge University Press 1987. X, 469 pp., £ 32.50 B/C H/c. ISBN 0 521 32384 3 (Cambridge Monographs on Mathematical Physics)." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 68, no. 6 (1988): 258. http://dx.doi.org/10.1002/zamm.19880680630.

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23

Möbius, P. "Green, M. B.; Schwarz, J. H.; Witten, E., Superstring Theory. Vol. 2: Loop amplitudes, anomalies and phenomenology. Cambridge etc., Cambridge University Press 1987. XII, 596 pp., £ 37.50 B/C H/c. ISBN 0 521 32999 X (Cambridge Monographs on Mathematical Physics)." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 68, no. 6 (1988): 258. http://dx.doi.org/10.1002/zamm.19880680631.

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24

Eloy, Camille, Olaf Hohm, and Henning Samtleben. "Green-Schwarz Mechanism for String Dualities." Physical Review Letters 124, no. 9 (March 6, 2020). http://dx.doi.org/10.1103/physrevlett.124.091601.

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25

Hohm, Olaf, and Barton Zwiebach. "Green-Schwarz mechanism and α′-deformed Courant brackets." Journal of High Energy Physics 2015, no. 1 (January 2015). http://dx.doi.org/10.1007/jhep01(2015)012.

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26

García-Etxebarria, Iñaki, Hirotaka Hayashi, Kantaro Ohmori, Yuji Tachikawa, and Kazuya Yonekura. "8d gauge anomalies and the topological Green-Schwarz mechanism." Journal of High Energy Physics 2017, no. 11 (November 2017). http://dx.doi.org/10.1007/jhep11(2017)177.

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27

Fiorenza, Domenico, Hisham Sati, and Urs Schreiber. "Twistorial cohomotopy implies Green–Schwarz anomaly cancellation." Reviews in Mathematical Physics, March 31, 2022. http://dx.doi.org/10.1142/s0129055x22500131.

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We characterize the integral cohomology and the rational homotopy type of the maximal Borel-equivariantization of the combined Hopf/twistor fibration, and find that subtle relations satisfied by the cohomology generators are just those that govern Hořava–Witten’s proposal for the extension of the Green–Schwarz mechanism from heterotic string theory to heterotic M-theory. We discuss how this squares with the Hypothesis H that the elusive mathematical foundation of M-theory is based on charge quantization in tangentially twisted unstable Cohomotopy theory.

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28

Corianò, C., M. Guzzi, and S. Morelli. "Unitarity bounds for gauged axionic interactions and the Green–Schwarz mechanism." European Physical Journal C 55, no. 4 (May 17, 2008). http://dx.doi.org/10.1140/epjc/s10052-008-0616-4.

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29

Dudas, Emilian, Tony Gherghetta, and Stefan Groot Nibbelink. "Vector-tensor duality in the five dimensional supersymmetric Green-Schwarz mechanism." Physical Review D 70, no. 8 (October 29, 2004). http://dx.doi.org/10.1103/physrevd.70.086012.

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30

Kumar, Jason, Arvind Rajaraman, and James D. Wells. "Probing the Green-Schwarz mechanism at the CERN Large Hadron Collider." Physical Review D 77, no. 6 (March 17, 2008). http://dx.doi.org/10.1103/physrevd.77.066011.

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31

Lescano, Eric, and Sourav Roychowdhury. "Heterotic Kerr-Schild Double Field Theory and its double Yang-Mills formulation." Journal of High Energy Physics 2022, no. 4 (April 2022). http://dx.doi.org/10.1007/jhep04(2022)090.

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Abstract We present a formulation of heterotic Double Field Theory (DFT), where the fundamental fields are in O(D, D) representations. The theory is obtained splitting an O(D, D + K ) duality invariant DFT. This procedure produces a Green-Schwarz mechanism for the generalized metric, and a fundamental gauge field which transforms as a gauge connection only to leading order. After parametrization, the former induces a non-covariant transformation on the metric tensor, which can be removed considering field redefinitions, and an ordinary Green-Schwarz mechanism on the b-field. Within this framework we explore perturbative properties of heterotic DFT. We use a relaxed version of the generalized Kerr-Schild ansatz (GKSA), where the generalized background metric is perturbed up to quadratic order considering a single null vector and the gauge field is linearly perturbed before parametrization. Finally we compare the dynamics of the gauge field and the generalized metric in order to inspect the behavior of the classical double copy correspondence at the DFT level.

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32

Blaszczyk, Michael, Stefan Groot Nibbelink, and Fabian Ruehle. "Green-Schwarz mechanism in heterotic (2,0) gauged linear sigma models: torsion and NS5 branes." Journal of High Energy Physics 2011, no. 8 (August 2011). http://dx.doi.org/10.1007/jhep08(2011)083.

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33

Weigand, Timo, and Fengjun Xu. "The Green-Schwarz mechanism and geometric anomaly relations in 2d (0,2) F-theory vacua." Journal of High Energy Physics 2018, no. 4 (April 2018). http://dx.doi.org/10.1007/jhep04(2018)107.

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34

Baron, W., and D. Marques. "The generalized Bergshoeff-de Roo identification. Part II." Journal of High Energy Physics 2021, no. 1 (January 2021). http://dx.doi.org/10.1007/jhep01(2021)171.

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Abstract We recently introduced a T-duality covariant mechanism to compute all-order higher-derivative interactions in the heterotic string. Here we extend the formalism to account for a two-parameter family of corrections that also include the bosonic string and HSZ theory. We use our result to compute the full second order Double Field Theory (DFT) for generic values of the parameters, including the generalized Green-Schwarz transformation and its invariant action.

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35

Lee, Yasunori, and Yuji Tachikawa. "Some comments on 6D global gauge anomalies." Progress of Theoretical and Experimental Physics 2021, no. 8 (February 10, 2021). http://dx.doi.org/10.1093/ptep/ptab015.

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Abstract Global gauge anomalies in six dimensions associated with non-trivial homotopy groups $\pi_6(G)$ for $G=SU(2)$, $SU(3)$, and $G_2$ have been computed and utilized in the past. From the modern bordism point of view of anomalies, however, they come from the bordism groups $\Omega^\text{spin}_7(BG)$, which are in fact trivial and therefore preclude their existence. Instead, it was noticed that a proper treatment of the 6D Green–Schwarz mechanism reproduces the same anomaly cancellation conditions derived from $\pi_6(G)$. In this paper, we revisit and clarify the relation between these two different approaches.

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36

Lescano, Eric, Carmen A. Núñez, and Jesús A. Rodríguez. "Supersymmetry, T-duality and heterotic α′-corrections." Journal of High Energy Physics 2021, no. 7 (July 2021). http://dx.doi.org/10.1007/jhep07(2021)092.

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Abstract Higher-derivative interactions and transformation rules of the fields in the effective field theories of the massless string states are strongly constrained by space-time symmetries and dualities. Here we use an exact formulation of ten dimensional $$ \mathcal{N} $$ N = 1 supergravity coupled to Yang-Mills with manifest T-duality symmetry to construct the first order α′-corrections of the heterotic string effective action. The theory contains a supersymmetric and T-duality covariant generalization of the Green-Schwarz mechanism that determines the modifications to the leading order supersymmetry transformation rules of the fields. We compute the resulting field-dependent deformations of the coefficients in the supersymmetry algebra and construct the invariant action, with up to and including four-derivative terms of all the massless bosonic and fermionic fields of the heterotic string spectrum.

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37

Lescano, Eric, and Jesús A. Rodríguez. "Higher-derivative heterotic Double Field Theory and classical double copy." Journal of High Energy Physics 2021, no. 7 (July 2021). http://dx.doi.org/10.1007/jhep07(2021)072.

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Abstract The generalized Kerr-Schild ansatz (GKSA) is a powerful tool for constructing exact solutions in Double Field Theory (DFT). In this paper we focus in the heterotic formulation of DFT, considering up to four-derivative terms in the action principle, while the field content is perturbed by the GKSA. We study the inclusion of the generalized version of the Green-Schwarz mechanism to this setup, in order to reproduce the low energy effective heterotic supergravity upon parametrization. This formalism reproduces higher-derivative heterotic background solutions where the metric tensor and Kalb-Ramond field are perturbed by a pair of null vectors. Next we study higher-derivative contributions to the classical double copy structure. After a suitable identification of the null vectors with a pair of U(1) gauge fields, the dynamics is given by a pair of Maxwell equations plus higher derivative corrections in agreement with the KLT relation.

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38

Bittleston, Roland. "On the associativity of 1-loop corrections to the celestial operator product in gravity." Journal of High Energy Physics 2023, no. 1 (January 9, 2023). http://dx.doi.org/10.1007/jhep01(2023)018.

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Abstract The question of whether the holomorphic collinear singularities of graviton amplitudes define a consistent chiral algebra has garnered much recent attention. We analyse a version of this question for infinitesimal perturbations around the self-dual sector of 4d Einstein gravity. The singularities of tree amplitudes in such perturbations do form a consistent chiral algebra, however at 1-loop its operator products are corrected by the effective graviton vertex. We argue that the chiral algebra can be interpreted as the universal holomorphic surface defect in the twistor uplift of self-dual gravity, and show that the same correction is induced by an anomalous diagram in the bulk-defect system. The 1-loop holomorphic collinear singularities do not form a consistent chiral algebra. The failure of associativity can be traced to the existence of a recently discovered gravitational anomaly on twistor space. It can be restored by coupling to an unusual 4th-order gravitational axion, which cancels the anomaly by a Green-Schwarz mechanism. Alternatively, the anomaly vanishes in certain theories of self-dual gravity coupled to matter, including in self-dual supergravity.

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Journal articles on the topic 'Green-Schwarz mechanism'

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