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Relevant bibliographies by topics / Topological strings

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Journal articles

Academic literature on the topic 'Topological strings'

Author: Grafiati

Published: 14 March 2023

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Journal articles on the topic "Topological strings"

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 (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

Montano, David, and Jacob Sonnenschein. "Topological strings." Nuclear Physics B 313, no. 2 (1989): 258–68. http://dx.doi.org/10.1016/0550-3213(89)90318-0.

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3

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 (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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4

Liu, Zhengwei, Alex Wozniakowski, and Arthur M. Jaffe. "Quon 3D language for quantum information." Proceedings of the National Academy of Sciences 114, no. 10 (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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5

WERESZCZYŃSKI, A. "KNOTS, BRAIDS AND HEDGEHOGS FROM THE EIKONAL EQUATION." Modern Physics Letters A 20, no. 15 (2005): 1135–46. http://dx.doi.org/10.1142/s0217732305017330.

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The complex eikonal equation in the three space dimensions is considered. We show that apart from the recently found torus knots, this equation can also generate other topological configurations with a nontrivial value of the π2(S2) index: braided open strings as well as hedgehogs. In particular, cylindric strings, i.e. string solutions located on a cylinder with a constant radius are found. Moreover, solutions describing strings lying on an arbitrary surface topologically equivalent to cylinder are presented. We discuss them in the context of the eikonal knots. The physical importance of the results originates in the fact that the eikonal knots have been recently used to approximate the Faddeev–Niemi hopfions.

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6

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 (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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7

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 (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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8

KAPUSTIN, ANTON. "TOPOLOGICAL STRINGS ON NONCOMMUTATIVE MANIFOLDS." International Journal of Geometric Methods in Modern Physics 01, no. 01n02 (2004): 49–81. http://dx.doi.org/10.1142/s0219887804000034.

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We identify a deformation of the N=2 supersymmetric sigma model on a Calabi–Yau manifold X which has the same effect on B-branes as a noncommutative deformation of X. We show that for hyperkähler X such deformations allow one to interpolate continuously between the A-model and the B-model. For generic values of the noncommutativity and the B-field, properties of the topologically twisted sigma-models can be described in terms of generalized complex structures introduced by N. Hitchin. For example, we show that the path integral for the deformed sigma-model is localized on generalized holomorphic maps, whereas for the A-model and the B-model it is localized on holomorphic and constant maps, respectively. The geometry of topological D-branes is also best described using generalized complex structures. We also derive a constraint on the Chern character of topological D-branes, which includes A-branes and B-branes as special cases.

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9

NITTA, MUNETO. "KNOTTED INSTANTONS FROM ANNIHILATIONS OF MONOPOLE–INSTANTON COMPLEX." International Journal of Modern Physics A 28, no. 32 (2013): 1350172. http://dx.doi.org/10.1142/s0217751x13501728.

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Monopoles and instantons are sheets (membranes) and strings in d = 5+1 dimension, respectively, and instanton strings can terminate on monopole sheets. We consider a pair of monopole and antimonopole sheets which is unstable to decay and results in a creation of closed instanton strings. We show that when an instanton string is stretched between the monopole sheets, there remains a new topological soliton of codimension five after the pair annihilation, i.e. a twisted closed instanton string or a knotted instanton.

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10

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 (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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