Geometric transitions, Chern–Simons gauge theory and Veneziano type amplitudes
Tohru Eguchi,Hiroaki Kanno +1 more
TLDR
In this paper, the authors consider the geometric transition and compute the all-genus topological string amplitudes expressed in terms of Hopf link invariants and topological vertices of Chern-Simons gauge theory.About:
This article is published in Physics Letters B.The article was published on 2004-04-08 and is currently open access. It has received 60 citations till now. The article focuses on the topics: Topological string theory & Chern–Simons theory.read more
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Liouville Correlation Functions from Four-dimensional Gauge Theories
TL;DR: In this paper, the authors conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of SCFTs recently defined by one of the authors.
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Chern-Simons theory and topological strings
TL;DR: In this article, a review of the relation between Chern-Simons gauge theory and topological string theory on non-compact Calabi-Yau spaces is given, and the implications of the physics of string/gauge theory duality for knot theory and for the geometry of Calabi Yau manifolds are discussed.
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Instanton counting, Macdonald function and the moduli space of D-branes
Hidetoshi Awata,Hiroaki Kanno +1 more
TL;DR: In this article, the connection of Nekrasov's partition function in the Ω background and the moduli space of D-branes has been discussed, and it has been shown that up to two instantons the spin contents are consistent with the Lefschetz action on the Moduli Space of D2branes on (local) F 0.
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The vertex on a strip
TL;DR: For a broad class of local Calabi-Yau geometries built around a string of IP{sup 1}s, the authors showed that the topological string partition function in which the sums over Young tableaux have been performed can be derived based on a topological vertex.
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Liouville Correlation Functions from Four-dimensional Gauge Theories
TL;DR: In this paper, the authors conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of N=2 SCFTs.
References
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Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
TL;DR: In this article, the authors studied the vacuum structure and spectrum of N = 2 supersymmetric gauge theory in four dimensions, with gauge group SU(2), and obtained exact formulas for electron and dyon masses and the metric on the moduli space of vacua.
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Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD
TL;DR: In this article, the authors studied four dimensional N = 2 supersymmetric gauge theories with matter multiplets and derived the exact metric on the moduli space of quantum vacua and the exact spectrum of the stable massive states.
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Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
Nathan Seiberg,Edward Witten +1 more
TL;DR: In this paper, the vacuum structure and dyon spectrum of N = 2 supersymmetric gauge theory in four dimensions, with gauge group SU(2), were studied. And the theory turns out to have remarkably rich and physical properties which can nonetheless be described precisely; exact formulas can be obtained, for instance, for electron and Dyon masses and the metric on the moduli space of vacua.
Seiberg-Witten prepotential from instanton counting
TL;DR: In this paper, a two-parameter generalization of the Seiberg-Witten prepotential is presented, which is rather natural from the M-theory/five dimensional perspective, and conjecture its relation to the tau-functions of KP/Toda hierarchy.
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On the Gauge Theory/Geometry Correspondence
Rajesh Gopakumar,Cumrun Vafa +1 more
TL;DR: The 't Hooft expansion of SU(N) Chern-Simons theory was shown to be exactly dual to topological closed string theory on the blow up of the conifold geometry in this paper.