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Relevant bibliographies by topics / Topological strings

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

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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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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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WERESZCZYŃSKI, A. "KNOTS, BRAIDS AND HEDGEHOGS FROM THE EIKONAL EQUATION." Modern Physics Letters A 20, no. 15 (May 20, 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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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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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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KAPUSTIN, ANTON. "TOPOLOGICAL STRINGS ON NONCOMMUTATIVE MANIFOLDS." International Journal of Geometric Methods in Modern Physics 01, no. 01n02 (April 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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NITTA, MUNETO. "KNOTTED INSTANTONS FROM ANNIHILATIONS OF MONOPOLE–INSTANTON COMPLEX." International Journal of Modern Physics A 28, no. 32 (December 30, 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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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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Dissertations / Theses on the topic "Topological strings"

1

Goodband, Michael James. "Perturbations about topological defects." Thesis, University of Sussex, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.336276.

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Hecht, Michael. "Effective actions and topological strings." Diss., lmu, 2011. http://nbn-resolving.de/urn:nbn:de:bvb:19-135759.

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Gu, Jie [Verfasser]. "Braiding Knots with Topological Strings / Jie Gu." Bonn : Universitäts- und Landesbibliothek Bonn, 2015. http://d-nb.info/1079273425/34.

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Chuang, Wu-yen. "Geometric transitions, topological strings, and generalized complex geometry /." May be available electronically:, 2007. http://proquest.umi.com/login?COPT=REJTPTU1MTUmSU5UPTAmVkVSPTI=&clientId=12498.

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Gill, Alasdair James. "Field theory and topological defects." Thesis, Imperial College London, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.244675.

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Martin, Adrian Peter. "Cosmological phase transition phenomena." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.389880.

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Hecht, Michael [Verfasser], and Peter [Akademischer Betreuer] Mayr. "Effective actions and topological strings : Off-shell mirror symmetry and mock modularity of multiple M5-branes / Michael Hecht. Betreuer: Peter Mayr." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2011. http://d-nb.info/1016615329/34.

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Melo, dos Santos Luis F. "Aspects of topological string theory." Thesis, Imperial College London, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.516484.

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Duan, Zhihao. "Topological string theory and applications." Thesis, Paris Sciences et Lettres (ComUE), 2019. http://www.theses.fr/2019PSLEE011/document.

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Cette thèse porte sur diverses applications de la théorie des cordes topologiques basée sur différents types de variétés de Calabi-Yau (CY). Le premier type considéré est la variété torique CY, qui est intimement liée aux problèmes spectraux des différents opérateurs. L'exemple particulier considéré dans la thèse ressemble beaucoup au modèle de Harper-Hofstadter en physique de la matière condensée. Nous étudions d’abord les secteurs non perturbatifs dans ce modèle et proposons une nouvelle façon de les calculer en utilisant la théorie topologique des cordes. Dans la deuxième partie de la thèse, nous considérons les fonctions de partition sur des variétés de CY elliptiquement fibrées. Celles-ci présentent un comportement modulaire intéressant. Nous montrons que pour les géométries qui ne conduisent pas à des symétries de jauge non abéliennes, les fonctions de partition des cordes topologiques peuvent être reconstruites avec seulement les invariants de Gromov-Witten du genre zéro. Finalement, nous discutons des travaux en cours concernant la relation entre les fonctions de partitionnement des cordes topologiques sur les soi-disant arbres de Higgsing dans la théorie de F
This thesis focuses on various applications of topological string theory based on different types of Calabi-Yau (CY) manifolds. The first type considered is the toric CY manifold, which is intimately related to spectral problems of difference operators. The particular example considered in the thesis closely resembles the Harper-Hofstadter model in condensed matter physics. We first study the non-perturbative sectors in this model, and then propose a new way to compute them using topological string theory. In the second part of the thesis, we consider partition functions on elliptically fibered CY manifolds. These exhibit interesting modular behavior. We show that for geometries which don't lead to non-abelian gauge symmetries, the topological string partition functions can be reconstructed based solely on genus zero Gromov-Witten invariants. Finally, we discuss ongoing work regarding the relation of the topological string partition functions on the so-called Higgsing trees in F-theory

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Gregory, Ruth Ann Watson. "Topological defects in cosmology." Thesis, University of Cambridge, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.292897.

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Books on the topic "Topological strings"

1

Hollands, Lotte. Topological strings and quantum curves. Amsterdam: Amsterdam University Press, 2009.

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Vilenkin, A. Cosmic strings and other topological defects. Cambridge: Cambridge University Press, 1994.

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Chern-Simons theory, matrix models, and topological strings. Oxford: Clarendon Press, 2005.

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W, Kolb Edward, Liddle Andrew R, United States. National Aeronautics and Space Administration., and Fermi National Accelerator Laboratory, eds. Topological defects in extended inflation. [Batavia, Ill.]: Fermi National Accelerator Laboratory, 1990.

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Kaku, Michio. Strings, conformal fields, and topology: An introduction. New York: Springer-Verlag, 1991.

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Block, Jonathan, 1960- editor of compilation, ed. String-Math 2011. Providence, Rhode Island: American Mathematical Society, 2012.

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Mathematical foundations of quantum field theory and perturbative string theory. Providence, R.I: American Mathematical Society, 2011.

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editor, Bouchard Vincent 1979, ed. String-Math 2014: June 9-13, 2014, University of Alberta, Alberta, Canada. Providence, Rhode Island: American Mathematical Society, 2016.

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editor, Donagi Ron, Douglas, Michael (Michael R.), editor, Kamenova Ljudmila 1978 editor, and Roček M. (Martin) editor, eds. String-Math 2013: Conference, June 17-21, 2013, Simons Center for Geometry and Physics, Stony Brook, NY. Providence, Rhode Island: American Mathematical Society, 2014.

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1973-, Johnson Mark W., ed. A foundation for PROPs, algebras, and modules. Providence, Rhode Island: American Mathematical Society, 2015.

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Book chapters on the topic "Topological strings"

1

Kaku, Michio. "Topological Field Theory." In Strings, Conformal Fields, and Topology, 469–513. New York, NY: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4684-0397-8_14.

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Kaku, Michio. "Topological Field Theory." In Strings, Conformal Fields, and M-Theory, 385–426. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-0503-6_12.

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Ooguri, Hirosi. "Lectures on Topological String Theory." In Strings and Fundamental Physics, 233–63. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25947-0_6.

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Dijkgraaf, Robbert, and Herman Verlinde. "Topological Strings and Loop Equations." In Random Surfaces and Quantum Gravity, 53–76. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-3772-4_5.

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Mariño, Marcos. "Topological Strings on Local Curves." In New Trends in Mathematical Physics, 457–73. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-2810-5_31.

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Hořava, Petr. "Topological Strings and QCD in Two Dimensions." In Quantum Field Theory and String Theory, 151–63. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-1819-8_12.

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Fuchs, Jürgen, Ingo Runkel, and Christoph Schweigert. "Open Strings And 3D Topological Field Theory." In Progress in String, Field and Particle Theory, 461–64. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0211-0_39.

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Carter, Brandon. "Dynamics of Cosmic Strings and Other Brane Models." In Formation and Interactions of Topological Defects, 303–48. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-1883-9_12.

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Rivers, R. J., and T. S. Evans. "The Production of Strings And Monopoles at Phase Transitions." In Formation and Interactions of Topological Defects, 139–82. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-1883-9_6.

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Baulieu, Laurent, Céline Laroche, and Nikita Nekrasov. "From Topological Field Theories to Covariant Matrix Strings." In Progress in String Theory and M-Theory, 361–65. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0852-5_23.

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Conference papers on the topic "Topological strings"

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Yi, Sang-Heon. "B-model Topological Strings and 2D Type 0A Strings." In PARTICLES, STRINGS, AND COSMOLOGY: 11th International Symposium on Particles, Strings, and Cosmology; PASCOS 2005. AIP, 2005. http://dx.doi.org/10.1063/1.2149735.

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Ritter, P. "Generalized Higher Gauge Theory and M5-brane dynamics." In Workshop on Strings, Membranes and Topological Field Theory. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813144613_0009.

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Sako, A. "A Recipe To Construct A Gauge Theory On A Noncommutative Kähler Manifold." In Workshop on Strings, Membranes and Topological Field Theory. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813144613_0010.

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Yoneya, T. "Lectures on Higher-Gauge Symmetries from Nambu Brackets and Covariantized M(atrix) Theory." In Workshop on Strings, Membranes and Topological Field Theory. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813144613_0001.

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Okawa, Yuji. "Complete formulation of superstring field theory." In Workshop on Strings, Membranes and Topological Field Theory. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813144613_0002.

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Ikeda, Noriaki. "Lectures on AKSZ Sigma Models for Physicists." In Workshop on Strings, Membranes and Topological Field Theory. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813144613_0003.

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Saemann, C. "Lectures on Higher Structures in M-theory." In Workshop on Strings, Membranes and Topological Field Theory. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813144613_0004.

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Jurčo, B., and J. Visoký. "Courant Algebroid Connections and String Effective Actions." In Workshop on Strings, Membranes and Topological Field Theory. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813144613_0005.

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Chu, Chong-Sun. "AdS/dS CFT Correspondence and Three Applications." In Workshop on Strings, Membranes and Topological Field Theory. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813144613_0006.

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Thiang, Guo Chuan. "T-duality and K-theory: a view from condensed matter physics." In Workshop on Strings, Membranes and Topological Field Theory. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813144613_0007.

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Reports on the topic "Topological strings"

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Chuang, Wu-yen, and /SLAC /Stanford U., Phys. Dept. Geometric Transitions, Topological Strings, and Generalized Complex Geometry. Office of Scientific and Technical Information (OSTI), June 2007. http://dx.doi.org/10.2172/909289.

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Song, Y. S. Topological String Theory and Enumerative Geometry. Office of Scientific and Technical Information (OSTI), May 2003. http://dx.doi.org/10.2172/815291.

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Kashani-Poor, Amir-Kian. SU(N) Geometries and Topological String Amplitudes. Office of Scientific and Technical Information (OSTI), July 2003. http://dx.doi.org/10.2172/815287.

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Chang, L., and C. Tze. (Investigations in guage theories, topological solitons and string theories). Office of Scientific and Technical Information (OSTI), January 1989. http://dx.doi.org/10.2172/5580416.

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Investigations in gauge theories, topological solitons and string theories. Final report. Office of Scientific and Technical Information (OSTI), June 1993. http://dx.doi.org/10.2172/10157040.

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