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Journal articles on the topic 'String: topological'

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Author: Grafiati

Published: 14 March 2023

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1

Tsai, Ya-Wen, Yao-Ting Wang, Pi-Gang Luan, and Ta-Jen Yen. "Topological Phase Transition in a One-Dimensional Elastic String System." Crystals 9, no. 6 (June 18, 2019): 313. http://dx.doi.org/10.3390/cryst9060313.

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We show that topological interface mode can emerge in a one-dimensional elastic string system which consists of two periodic strings with different band topologies. To verify their topological features, Zak-phase of each band is calculated and reveals the condition of topological phase transition accordingly. Apart from that, the transmittance spectrum illustrates that topological interface mode arises when two topologically distinct structures are connected. The vibration profile further exhibits the non-trivial interface mode in the domain wall between two periodic string composites.

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2

Sato, Matsuo, and Yuji Sugimoto. "Topological string geometry." Nuclear Physics B 956 (July 2020): 115019. http://dx.doi.org/10.1016/j.nuclphysb.2020.115019.

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3

Sugawara, Yuji. "Topological string on." Nuclear Physics B 576, no. 1-3 (June 2000): 265–84. http://dx.doi.org/10.1016/s0550-3213(00)00075-4.

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4

Derfoufi, Younes, and My Ismail Mamouni. "STRING TOPOLOGICAL ROBOTICS." JP Journal of Geometry and Topology 19, no. 3 (October 6, 2016): 189–208. http://dx.doi.org/10.17654/gt019030189.

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5

Curio, Gottfried. "Topological partition function and string-string duality." Physics Letters B 366, no. 1-4 (January 1996): 131–33. http://dx.doi.org/10.1016/0370-2693(95)01347-4.

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6

Ayoub, Ettaki, My Ismail Mamouni, and Mohamed Abdou Elomary. "STRING TOPOLOGICAL ROBOTICS 2." JP Journal of Algebra, Number Theory and Applications 58 (September 24, 2022): 1–18. http://dx.doi.org/10.17654/0972555522031.

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7

Chen, Shu. "Introduction to Mirror Symmetry in Aspects of Topological String Theory." Journal of Physics: Conference Series 2386, no. 1 (December 1, 2022): 012079. http://dx.doi.org/10.1088/1742-6596/2386/1/012079.

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Abstract Under the compactification by the Calabi-Yau threefold, the string theory shows there is duality called mirror symmetry, which implies there is an isomorphism between two string theories under the compactifications of two topologically different internal manifolds. By twisting the topological string theory in two methods, the twisted theories named A-model and B-model have an isomorphism to each other under the mirror symmetry.

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8

Segal, G. "Topological structures in string theory." Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 359, no. 1784 (July 15, 2001): 1389–98. http://dx.doi.org/10.1098/rsta.2001.0841.

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9

Okuda, Takuya. "BIons in topological string theory." Journal of High Energy Physics 2008, no. 01 (January 28, 2008): 062. http://dx.doi.org/10.1088/1126-6708/2008/01/062.

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10

Antoniadis, I., E. Gava, K. S. Narain, and T. R. Taylor. "Topological amplitudes in string theory." Nuclear Physics B 413, no. 1-2 (January 1994): 162–84. http://dx.doi.org/10.1016/0550-3213(94)90617-3.

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11

Grassi, Alba, Johan Källén, and Marcos Mariño. "The Topological Open String Wavefunction." Communications in Mathematical Physics 338, no. 2 (May 12, 2015): 533–61. http://dx.doi.org/10.1007/s00220-015-2387-8.

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12

ZAIKOV, R. P. "BOSONIC STRING WITH TOPOLOGICAL TERM." Modern Physics Letters A 06, no. 16 (May 30, 1991): 1453–57. http://dx.doi.org/10.1142/s0217732391001561.

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It is shown that in D = 3 space-time dimensions there exist a topological term for the bosonic strings. The corresponding constraints satisfy the same Virasoro algebra as the ordinary bosonic strings. These results are generalized for an arbitrary dimensional space-time if we have SO (1, 2) ⊗ O (D − 3) or SO (3) ⊗ O (1, D − 4) symmetry instead of SO (1, D − 1) space-time symmetry. A gauge-dependent correction to the Casimir energy corresponding to this topological term is derived.

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13

Balachandran, A. P., F. Lizzi, R. D. Sorkin, and G. Sparano. "Topological aspects of string theories." Nuclear Physics B 287 (January 1987): 508–50. http://dx.doi.org/10.1016/0550-3213(87)90116-7.

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14

ISHIKAWA, HIROSHI, and MITSUHIRO KATO. "NOTE ON N = 0 STRING AS N = 1 STRING." Modern Physics Letters A 09, no. 08 (March 14, 1994): 725–28. http://dx.doi.org/10.1142/s0217732394000538.

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A similarity transformation, which brings a particular class of N = 1 strings to those with N = 0, is explicitly constructed. It enables us to give a simple proof for the argument recently proposed by Berkovits and Vafa. The N = 1 BRST operator is turned into the direct sum of the corresponding N = 0 BRST operator and that for an additional topological sector. As a result, the physical spectrum of these N = 1 vacua is shown to be isomorphic to the tensor product of the N = 0 spectrum and the topological sector which consists of only the vacuum. This transformation manifestly keeps the operator algebra.

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15

DUAN, YI-SHI, LI-DA ZHANG, and YU-XIAO LIU. "A NEW DESCRIPTION OF COSMIC STRINGS IN BRANE WORLD SCENARIO." Modern Physics Letters A 23, no. 24 (August 10, 2008): 2023–30. http://dx.doi.org/10.1142/s021773230802611x.

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In the light of ϕ-mapping topological current theory, the structure of cosmic strings are obtained from the Abelian Higgs model, which is an effective description to the brane world cosmic string system. In this topological description of the cosmic string, combining the result of decomposition of U(1) gauge potential, we analytically reach the familiar conclusions that in the brane world scenario the magnetic flux of the cosmic string is quantized and the RR charge of it is screened.

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16

BALACHANDRAN, A. P., W. D. McGLINN, L. O’RAIFEARTAIGH, S. SEN, R. D. SORKIN, and A. M. SRIVASTAVA. "TOPOLOGICAL SPIN-STATISTICS THEOREMS FOR STRINGS." Modern Physics Letters A 07, no. 16 (May 30, 1992): 1427–42. http://dx.doi.org/10.1142/s0217732392001105.

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Recently, a topological proof of the spin-statistics theorem has been proposed for a system of point particles. It does not require relativity or field theory, but assumes the existence of antiparticles. We extend this proof to a system of string loops in three space dimensions and show that by assuming the existence of antistring loops, one can prove a spin-statistics theorem for these string loops. According to this theorem, all unparametrized strings (such as flux tubes in superconductors and cosmic strings) should be quantized as bosons. Also, as in the point particle case, we find that the theorem excludes non-Abelian statistics.

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17

HIRANO, SHINJI, and HIROSHI ISHIKAWA. "TOPOLOGICAL STRUCTURE IN $\hat c =1$ FERMIONIC STRING THEORY." Modern Physics Letters A 09, no. 33 (October 30, 1994): 3077–87. http://dx.doi.org/10.1142/s0217732394002902.

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[Formula: see text] fermionic string theory, which is considered as a fermionic string theory in two dimensions, is shown to decompose into two mutually independent parts, one of which can be viewed as a topological model and the other is irrelevant for the theory. The physical contents of the theory is largely governed by this topological structure, and the discrete physical spectrum of [Formula: see text] string theory is naturally explained as the physical spectrum of the topological model. This topological structure turns out to be related with a novel hidden N = 2 superconformal algebra (SCA) in the enveloping algebra of the N = 3 SCA in fermionic string theories.

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18

Costello, Kevin, and Si Li. "Anomaly cancellation in the topological string." Advances in Theoretical and Mathematical Physics 24, no. 7 (2020): 1723–71. http://dx.doi.org/10.4310/atmp.2020.v24.n7.a2.

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19

Cook, Paul L. H., Hirosi Ooguri, and Jie Yang. "New Anomalies in Topological String Theory." Progress of Theoretical Physics Supplement 177 (2009): 120–27. http://dx.doi.org/10.1143/ptps.177.120.

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20

Ezawa, Z. F., S. Nakamura, and A. Tezuka. "Topological solitons and compactified bosonic string." Physical Review D 34, no. 12 (December 15, 1986): 3805–10. http://dx.doi.org/10.1103/physrevd.34.3805.

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21

Yamaguchi, Satoshi, and Shing-Tung Yau. "Topological String Partition Functions as Polynomials." Journal of High Energy Physics 2004, no. 07 (July 22, 2004): 047. http://dx.doi.org/10.1088/1126-6708/2004/07/047.

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22

Bouchard, Vincent, Bogdan Florea, and Marcos Marino. "Topological Open String Amplitudes On Orientifolds." Journal of High Energy Physics 2005, no. 02 (February 3, 2005): 002. http://dx.doi.org/10.1088/1126-6708/2005/02/002.

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23

Grimm, Thomas W., Albrecht Klemm, Marcos Mariño, and Marlene Weiss. "Direct integration of the topological string." Journal of High Energy Physics 2007, no. 08 (August 20, 2007): 058. http://dx.doi.org/10.1088/1126-6708/2007/08/058.

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24

Hyun, Seungjoon, Kyungho Oh, Jong-Dae Park, and Sang-Heon Yi. "Topological B-model and string theory." Nuclear Physics B 729, no. 1-2 (November 2005): 135–62. http://dx.doi.org/10.1016/j.nuclphysb.2005.08.048.

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25

Antoniadis, I., S. Hohenegger, and K. S. Narain. "topological amplitudes and string effective action." Nuclear Physics B 771, no. 1-2 (May 2007): 40–92. http://dx.doi.org/10.1016/j.nuclphysb.2007.02.011.

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26

Nag, Subhashis, and Parameswaran Sankaran. "Open string diagrams I: Topological type." Journal of Mathematical Physics 34, no. 10 (October 1993): 4562–74. http://dx.doi.org/10.1063/1.530357.

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27

Klemm, A. "Topological string theory and integrable structures." Fortschritte der Physik 53, no. 7-8 (July 15, 2005): 720–69. http://dx.doi.org/10.1002/prop.200410235.

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28

Morse, Jack, and Rolf Schimmrigk. "Topological phases of the heterotic string." Physics Letters B 278, no. 1-2 (March 1992): 97–100. http://dx.doi.org/10.1016/0370-2693(92)90718-j.

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29

Liu, Zhengwei, Alex Wozniakowski, and Arthur M. Jaffe. "Quon 3D language for quantum information." Proceedings of the National Academy of Sciences 114, no. 10 (February 6, 2017): 2497–502. http://dx.doi.org/10.1073/pnas.1621345114.

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We present a 3D topological picture-language for quantum information. Our approach combines charged excitations carried by strings, with topological properties that arise from embedding the strings in the interior of a 3D manifold with boundary. A quon is a composite that acts as a particle. Specifically, a quon is a hemisphere containing a neutral pair of open strings with opposite charge. We interpret multiquons and their transformations in a natural way. We obtain a type of relation, a string–genus “joint relation,” involving both a string and the 3D manifold. We use the joint relation to obtain a topological interpretation of theC∗-Hopf algebra relations, which are widely used in tensor networks. We obtain a 3D representation of the controlled NOT (CNOT) gate that is considerably simpler than earlier work, and a 3D topological protocol for teleportation.

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30

Li, Xinfei, Xin Liu, and Yong-Chang Huang. "Tackling tangledness of cosmic strings by knot polynomial topological invariants." International Journal of Modern Physics A 32, no. 27 (September 30, 2017): 1750164. http://dx.doi.org/10.1142/s0217751x17501640.

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Cosmic strings in the early universe have received revived interest in recent years. In this paper, we derive these structures as topological defects from singular distributions of the quintessence field of dark energy. Our emphasis is placed on the topological charge of tangled cosmic strings, which originates from the Hopf mapping and is a Chern–Simons action possessing strong inherent tie to knot topology. It is shown that the Kauffman bracket knot polynomial can be constructed in terms of this charge for unoriented knotted strings, serving as a topological invariant much stronger than the traditional Gauss linking numbers in characterizing string topology. Especially, we introduce a mathematical approach of breaking-reconnection which provides a promising candidate for studying physical reconnection processes within the complexity-reducing cascades of tangled cosmic strings.

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31

Jia, Bei. "Topological string theory revisited I: The stage." International Journal of Modern Physics A 31, no. 24 (August 30, 2016): 1650135. http://dx.doi.org/10.1142/s0217751x16501359.

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In this paper, we reformulate topological string theory using supermanifolds and supermoduli spaces, following the approach worked out by Witten (Superstring perturbation theory revisited, arXiv:1209.5461 ). We intend to make the construction geometrical in nature, by using supergeometry techniques extensively. The goal is to establish the foundation of studying topological string amplitudes in terms of integration over appropriate supermoduli spaces.

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32

Achúcarro, A., A. Avgoustidis, A. López-Eiguren, C. J. A. P. Martins, and J. Urrestilla. "Cosmological evolution of semilocal string networks." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2161 (November 11, 2019): 20190004. http://dx.doi.org/10.1098/rsta.2019.0004.

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Semilocal strings—a particular limit of electroweak strings—are an interesting example of a stable non-topological defect whose properties resemble those of their topological cousins, the Abrikosov–Nielsen–Olesen vortices. There is, however, one important difference: a network of semilocal strings will contain segments. These are ‘dumbbells’ whose ends behave almost like global monopoles that are strongly attracted to one another. While closed loops of string will eventually shrink and disappear, the segments can either shrink or grow, and a cosmological network of semilocal strings will reach a scaling regime. We discuss attempts to find a ‘thermodynamic’ description of the cosmological evolution and scaling of a network of semilocal strings, by analogy with well-known descriptions for cosmic strings and for monopoles. We propose a model for the time evolution of an overall length scale and typical velocity for the network as well as for its segments, and some supporting (preliminary) numerical evidence. This article is part of a discussion meeting issue ‘Topological avatars of new physics’.

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33

Morgan, MJ, and Tan Tat Hin. "Topological Effects of a Circular Cosmic String." Australian Journal of Physics 49, no. 3 (1996): 607. http://dx.doi.org/10.1071/ph960607.

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The behaviour of a quantum particle in the spacetime region exterior to a circular cosmic string is studied by constructing a connection one-form in the tetrad formalism. In the weak-field approximation, near the string core, the space exhibits a conical singularity, with an attendant topological phase and distortion of the energy spectrum of a scalar particle determined by the global properties of the spacetime structure of the string loop.

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34

Mariño, Marcos. "Open string amplitudes and large order behavior in topological string theory." Journal of High Energy Physics 2008, no. 03 (March 25, 2008): 060. http://dx.doi.org/10.1088/1126-6708/2008/03/060.

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35

ISHIKAWA, HIROSHI, and MITSUHIRO KATO. "c=1 STRING AS A TOPOLOGICAL MODEL." International Journal of Modern Physics A 09, no. 32 (December 30, 1994): 5769–89. http://dx.doi.org/10.1142/s0217751x94002387.

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The discrete states in the c=1 string are shown to be the physical states of a certain topological sigma model. We define a set of new fields directly from c=1 variables, in terms of which the BRST charge and energy-momentum tensor are rewritten as those of the topological sigma model. Remarkably, ground ring generator x turns out to be a coordinate of the sigma model. All of the discrete states realize a graded ring which contains the ground ring as a subset.

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36

Saidi, El Hassan, and Moulay Brahim Sedra. "Topological string in harmonic space and correlation functions in stringy cosmology." Nuclear Physics B 748, no. 3 (August 2006): 380–457. http://dx.doi.org/10.1016/j.nuclphysb.2006.04.020.

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37

Sakamoto, M., and M. Tachibana. "Topological Terms in String Theory on Orbifolds." Progress of Theoretical Physics 93, no. 2 (February 1, 1995): 471–81. http://dx.doi.org/10.1143/ptp.93.471.

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38

Carqueville, Nils. "Matrix factorisations and open topological string theory." Journal of High Energy Physics 2009, no. 07 (July 2, 2009): 005. http://dx.doi.org/10.1088/1126-6708/2009/07/005.

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39

Gasparim, Elizabeth, Bruno Suzuki, Alexander Torres-Gomez, and Carlos A. B. Varea. "Topological string partition function on generalised conifolds." Journal of Mathematical Physics 58, no. 4 (April 2017): 042303. http://dx.doi.org/10.1063/1.4980013.

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40

Antoniadis, I., I. Florakis, S. Hohenegger, K. S. Narain, and A. Zein Assi. "Worldsheet realization of the refined topological string." Nuclear Physics B 875, no. 1 (October 2013): 101–33. http://dx.doi.org/10.1016/j.nuclphysb.2013.07.004.

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41

Ramadevi, P., and Tapobrata Sarkar. "On link invariants and topological string amplitudes." Nuclear Physics B 600, no. 3 (April 2001): 487–511. http://dx.doi.org/10.1016/s0550-3213(00)00761-6.

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42

Antoniadis, I., K. S. Narain, and T. R. Taylor. "Open string topological amplitudes and gaugino masses." Nuclear Physics B 729, no. 1-2 (November 2005): 235–77. http://dx.doi.org/10.1016/j.nuclphysb.2005.09.024.

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43

Cattaneo, Alberto S., Jürg Fröhlich, and Bill Pedrini. "Topological Field Theory Interpretation of String Topology." Communications in Mathematical Physics 240, no. 3 (August 19, 2003): 397–421. http://dx.doi.org/10.1007/s00220-003-0917-2.

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44

Mathai, Varghese, Guo Chuan Thiang, Pedram Hekmati, Henriques Bursztyn, Peter Bouwknegt, and David Baraglia. "Foreword: String geometries, dualities and topological matter." Journal of Geometry and Physics 138 (April 2019): 331–32. http://dx.doi.org/10.1016/j.geomphys.2018.06.004.

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45

Oz, Yaron. "On topological 2D string and intersection theory." Physics Letters B 355, no. 1-2 (July 1995): 135–40. http://dx.doi.org/10.1016/0370-2693(95)00740-c.

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46

Carqueville, Nils, and Michael M. Kay. "Bulk Deformations of Open Topological String Theory." Communications in Mathematical Physics 315, no. 3 (June 24, 2012): 739–69. http://dx.doi.org/10.1007/s00220-012-1513-0.

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47

Russo, Jorge G. "Topological invariants in non-critical string theories." Physics Letters B 262, no. 4 (June 1991): 411–18. http://dx.doi.org/10.1016/0370-2693(91)90614-v.

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48

Balitsky, Ianko I., and Vladimir M. Braun. "Topological current Kμ as a string operator." Physics Letters B 267, no. 3 (September 1991): 405–10. http://dx.doi.org/10.1016/0370-2693(91)90954-o.

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49

Li, Jun, Kefeng Liu, and Jian Zhou. "Topological String Partition Functions as Equivariant Indices." Asian Journal of Mathematics 10, no. 1 (2006): 81–114. http://dx.doi.org/10.4310/ajm.2006.v10.n1.a6.

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50

de Boer, Jan, Asad Naqvi, and Assaf Shomer. "The Topological G₂ String." Advances in Theoretical and Mathematical Physics 12, no. 2 (2008): 243–318. http://dx.doi.org/10.4310/atmp.2008.v12.n2.a2.

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