scispace - formally typeset
Search or ask a question
Topic

Topological string theory

About: Topological string theory is a research topic. Over the lifetime, 1206 publications have been published within this topic receiving 54758 citations.


Papers
More filters
Journal ArticleDOI
TL;DR: In this paper, the topological string amplitudes of N = 1 and N = 2 supersymmetric gauge theories are derived from topological strings and used to check a conjecture of Nekrasov concerning these gravitational couplings in Seiberg-Witten theory.
Abstract: Gravitational corrections in N = 1 and N = 2 supersymmetric gauge theories are obtained from topological string amplitudes. We show how they are recovered in matrix model computations. This provides a test of the proposal by Dijkgraaf and Vafa beyond the planar limit. Both, matrix model and topological string theory, are used to check a conjecture of Nekrasov concerning these gravitational couplings in Seiberg-Witten theory. Our analysis is performed for those gauge theories which are related to the cubic matrix model, i.e. pure SU(2) Seiberg-Witten theory and N = 2 U(N) SYM broken to N = 1 via a cubic superpotential. We outline the computation of the topological amplitudes for the local Calabi-Yau manifolds which are relevant for these two cases.

206 citations

Journal ArticleDOI
TL;DR: In this article, the Bethe-Yang equations for the mirror theory were analyzed in the thermodynamic limit of the light-cone gauge-fixed string theory in the AdS_5 x S^5 background by the double-Wick rotation.
Abstract: We discuss the states which contribute in the thermodynamic limit of the mirror theory, the latter is obtained from the light-cone gauge-fixed string theory in the AdS_5 x S^5 background by the double-Wick rotation. We analyze the Bethe-Yang equations for the mirror theory and formulate the string hypothesis. We show that in the thermodynamic limit solutions of the Bethe-Yang equations arrange themselves into Bethe string configurations similar to the ones appearing in the Hubbard model. We also derive a set of equations describing the bound states and the Bethe string configurations of the mirror theory

203 citations

Journal ArticleDOI
TL;DR: In this article, the authors developed techniques to compute multi-instanton corrections to the 1/N expansion in matrix models described by orthogonal polynomials, which are based on finding trans-series solutions, i.e., formal solutions with exponentially small corrections, to the recursion relations characterizing the free energy.
Abstract: We develop techniques to compute multi-instanton corrections to the 1/N expansion in matrix models described by orthogonal polynomials. These techniques are based on finding trans-series solutions, i.e. formal solutions with exponentially small corrections, to the recursion relations characterizing the free energy. We illustrate this method in the Hermitian, quartic matrix model, and we provide a detailed description of the instanton corrections in the Gross-Witten-Wadia (GWW) unitary matrix model. Moreover, we use Borel resummation techniques and results from the theory of resurgent functions to relate the formal multi-instanton series to the nonperturbative definition of the matrix model. We study this relation in the case of the GWW model and its double-scaling limit, providing in this way a nice illustration of various mechanisms connecting the resummation of perturbative series to nonperturbative results, like the cancellation of nonperturbative ambiguities. Finally, we argue that trans-series solutions are also relevant in the context of topological string theory. In particular, we point out that in topological string models with both a matrix model and a large N gauge theory description, the nonperturbative, holographic definition involves a sum over the multi-instanton sectors of the matrix model.

203 citations

01 Nov 1990
TL;DR: In this article, a review of topological string theory is given, where the authors describe the symmetries and properties of the physical amplitudes of the topological field theory and derive the Schwinger-Dyson equations in recursion relations between world-sheet correlation functions at different genera.
Abstract: In these notes we give a review of topological string theory. We discuss twodimensional topological field theories, which represent its classical backgrounds. We describe their symmetries and the properties of the physical amplitudes. In the particular context of d < 1 we explain how topological string theory can be exactly solved, by deriving Schwinger-Dyson equations in the form of recursion relations between world-sheet correlation functions at different genera. ∗Based on lectures presented at the Spring School on Strings and Quantum Gravity, Trieste, April 24 – May 2, 1990 and the Cargése Workshop on Random Surfaces, Quantum Gravity and Strings, May 28 – June 1, 1990.

202 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigated B-type topological Landau-Ginzburg theory with one variable, with D2brane boundary conditions, and determined the allowed brane configurations in terms of the possible factorizations of the superpotential, and computed the corresponding open string chiral rings.
Abstract: We investigate B-type topological Landau-Ginzburg theory with one variable, with D2brane boundary conditions. The allowed brane configurations are determined in terms of the possible factorizations of the superpotential, and compute the corresponding open string chiral rings. These are characterized by bosonic and fermionic generators that satisfy certain relations. Moreover we show that the disk correlators, being continuous functions of deformation parameters, satisfy the topological sewing constraints, thereby proving consistency of the theory. In addition we show that the open string LG model is, in its content, equivalent to a certain triangulated category introduced by Kontsevich, and thus may be viewed as a concrete physical realization of it.

197 citations

Network Information
Related Topics (5)
Gauge theory
38.7K papers, 1.2M citations
92% related
Supersymmetry
29.7K papers, 1.1M citations
91% related
Quantum field theory
24.6K papers, 749.9K citations
91% related
Quantum gravity
20.3K papers, 681.9K citations
89% related
Higgs boson
33.6K papers, 961.7K citations
87% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20235
20228
202115
202012
201915
201817