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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.
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TL;DR: In this paper, an explicit form for the integral kernel of the trace class operator in terms of Faddeev's quantum dilogarithm is given, and the matrix model associated to this integral kernel is an O(2) model, which generalizes the ABJ(M) matrix model.
Abstract: The quantization of mirror curves to toric Calabi--Yau threefolds leads to trace class operators, and it has been conjectured that the spectral properties of these operators provide a non-perturbative realization of topological string theory on these backgrounds. In this paper, we find an explicit form for the integral kernel of the trace class operator in the case of local P1xP1, in terms of Faddeev's quantum dilogarithm. The matrix model associated to this integral kernel is an O(2) model, which generalizes the ABJ(M) matrix model. We find its exact planar limit, and we provide detailed evidence that its 1/N expansion captures the all genus topological string free energy on local P1xP1.
104 citations
TL;DR: One-loop corrections to topological field theory in three and four dimensions are presented in this article, where the authors compute the effective action and β-function in four-dimensional topological Yang-Mills theory and find that the BRST symmetry is preserved.
103 citations
TL;DR: In this paper, it was shown that Witten's star product in string field theory is equivalent to the Moyal star product involving the relativistic phase space of even string modes.
103 citations
TL;DR: In this paper, the relation between open and closed string correlators using topological string theories as a toy model is discussed and the Hochschild cohomology of the category of D-branes is computed in topological Landau-Ginzburg models.
Abstract: We discuss the relation between open and closed string correlators using topological string theories as a toy model. We propose that one can reconstruct closed string correlators from the open ones by considering the Hochschild cohomology of the category of D-branes. We compute the Hochschild cohomology of the category of D-branes in topological Landau-Ginzburg models and partially verify the conjecture in this case.
102 citations
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TL;DR: In this paper, the authors studied the type IIA NS vebrane wrapped on a Calabi-Yau manifold X in a double-scaled decoupling limit and calculated the euclidean partition function in the presence of a flat RR 3-form eld.
Abstract: We study the Type IIA NS ve-brane wrapped on a Calabi-Yau manifold X in a double-scaled decoupling limit. We calculate the euclidean partition function in the presence of a flat RR 3-form eld. The classical contribution is given by a sum over fluxes of the self-dual tensor eld which reduces to a theta-function. The quantum contributions are computed using a T-dual IIB background where the ve-branes are replaced by an ALE singularity. Using the supergravity eective action we nd that the loop corrections to the free energy are given by B-model topological string amplitudes. This seems to provide a direct link between the double-scaled little strings on the ve-brane worldvolume and topological strings. Both the classical and quantum contributions to the partition function satisfy (conjugate) holomorphic anomaly equations, which explains an observation of Witten relating topological string theory to the quantization of three-form elds.
101 citations