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 article, new relations of correlation functions are found in topological string theory; one for each second cohomology class of the target space; and they are close cousins of the Deligne-Dijkgraaf-Witten's puncture and dilaton equations.
Abstract: New relations of correlation functions are found in topological string theory; one for each second cohomology class of the target space. They are close cousins of the Deligne-Dijkgraaf-Witten's puncture and dilaton equations. When combined with the dilaton equation and the ghost number conservation, the equation for the first chern class of the target space gives a constraint on the topological sum (over genera and (multi-)degrees) of partition functions. For the $\CP^1$ model, it coincides with the dilatation constraint which is derivable in the matrix model recently introduced by Eguchi and Yang.
15 citations
TL;DR: In this article, it was shown that string theory on a manifold is unstable to the emission of large branes no matter what the metric may be, and that the instability is due to the topology of the manifold, not to any particular choice of its geometry.
Abstract: Using the generalised AdS/CFT correspondence, we show that there are certain ten-dimensional differentiable manifolds such that string theory on such a manifold is unstable [to the emission of "large branes"] no matter what the metric may be. The instability is thus due to the [differential] topology of the manifold, not to any particular choice of its geometry. We propose a precise criterion for this "topology selection mechanism", and prove it in many cases. The techniques employed may be useful in more general cases.
15 citations
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TL;DR: In this article, the topological string amplitudes of Calabi-Yau toric threefolds corresponding to 4D, N=2, SU(2) gauge theory with N_f = 0,1,2,3,4 fundamental hypermultiplets were calculated using the method of the geometric transition and they reproduce Nekrasov's formulas for instanton counting.
Abstract: We calculate the topological string amplitudes of Calabi-Yau toric threefolds corresponding to 4D, N=2, SU(2) gauge theory with N_f=0,1,2,3,4 fundamental hypermultiplets by using the method of the geometric transition and show that they reproduce Nekrasov's formulas for instanton counting. We also determine the asymptotic forms of the Gopakumar-Vafa invariants of the Calabi-Yau threefolds including those at higher genera from instanton amplitudes of the gauge theory.
15 citations
TL;DR: The relation between open topological strings and Chern-Simons theory was discovered by Witten as discussed by the authors, who proved that A-model on T ∗ M where M is a three-dimensional manifold is equivalent to Chern-simons theory on M and that A -model on arbitrary Calabi-Yau 3-fold is related to CSA with instanton corrections.
15 citations
15 citations