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.
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TL;DR: In this paper, a new topological field theory in three dimensions was proposed, which is a hybrid between Chern-Simons and Rozansky-Witten theory and can be regarded as a topologically-twisted version of the N=4 d=3 supersymmetric gauge theory recently discovered by Gaiotto and Witten.
65 citations
TL;DR: In this article, the Borel-Pade-Ecalle resummation of this resurgent transseries, alongside occurrence of Stokes phenomenon, matches the string-theoretic partition function obtained via quantization of the mirror curve.
Abstract: The quest to find a nonperturbative formulation of topological string theory has recently seen two unrelated developments. On the one hand, via quantization of the mirror curve associated to a toric Calabi-Yau background, it has been possible to give a nonperturbative definition of the topological-string partition function. On the other hand, using techniques of resurgence and transseries, it has been possible to extend the string (asymptotic) perturbative expansion into a transseries involving nonperturbative instanton sectors. Within the specific example of the local P2 toric Calabi-Yau threefold, the present work shows how the Borel-Pade-Ecalle resummation of this resurgent transseries, alongside occurrence of Stokes phenomenon, matches the string-theoretic partition function obtained via quantization of the mirror curve. This match is highly non-trivial, given the unrelated nature of both nonperturbative frameworks, signaling at the existence of a consistent underlying structure.
65 citations
TL;DR: Theoretie minimale des cordes minimales as discussed by the authors is an interpretation geometrique of the theory of surface d'univers du modele de matrices dual (MDU).
64 citations
TL;DR: In this paper, a Kontsevich-type matrix model for the c = 1 string was derived directly from the W∞ solution of the theory, which is different from previous proposals, which are proven to be incorrect.
64 citations
TL;DR: In this paper, a topological model involving matter couplings to Donaldson-Witten theory is presented, which is carried out using both the topological algebra and its central extension, which arise from the twisting of N = 2 supersymmetry in four dimensions.
63 citations