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, the connections between instanton counting in maximally supersymmetric gauge theories and the computation of enumerative invariants of smooth varieties are discussed and discussed in detail.
Abstract: We review and elaborate on certain aspects of the connections between instanton counting in maximally supersymmetric gauge theories and the computation of enumerative invariants of smooth varieties. We study in detail three instances of gauge theories in six, four and two dimensions which naturally arise in the context of topological string theory on certain non-compact threefolds. We describe how the instanton counting in these gauge theories are related to the computation of the entropy of supersymmetric black holes, and how these results are related to wall-crossing properties of enumerative invariants such as Donaldson-Thomas and Gromov-Witten invariants. Some features of moduli spaces of torsion-free sheaves and the computation of their Euler characteristics are also elucidated.
5 citations
TL;DR: Using the decomposition theory of U(1) gauge potential and -mapping topological current theory, this paper investigated the topological inner structure of Chern?Simons tensor current.
Abstract: Using the decomposition theory of U(1) gauge potential and -mapping topological current theory, we investigate the topological inner structure of Chern?Simons tensor current. It is proven that the U(1) Chern?Simons tensor current in four-dimensional manifold is just the topological current of creating the string world-sheets.
5 citations
01 Jan 1995
TL;DR: Two-dimensional Yang-Mills theory (YM2) is often dismissed as a trivial system as discussed by the authors, but it is very rich mathematically and might be the source of some important lessons physically.
Abstract: Two-dimensional Yang-Mills theory (YM2) is often dismissed as a trivial system. In fact it is very rich mathematically and might be the source of some important lessons physically.
5 citations
TL;DR: In this article, the point-to-circle Morse relations in the periodic orbits variational problem for contact vector fields lead directly to the existence of critical points at infinity, where the Hamiltonians are usually bounded.
Abstract: Abstract We take the example of the standard geodesics problem on S2 to show how the point to circle Morse relations in the periodic orbits variational problem for contact vector-fields lead directly to the existence of critical points at infinity. This is sharply in contrast with the phenomena encountered in symplectic geometry where the variational problems are not necessarily S1-invariant and where the Hamiltonians are usually bounded. The related tools defined in this area do not exhibit therefore all the phenomena encountered in S1-invariant settings. We then recall our definition of Contact Form Homology which includes these essential Morse relations and we define related tools for its computation.
5 citations
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TL;DR: Several examples of similarity transformations connecting two string theories with different backgrounds are reviewed in this article, and the general structure behind the similarity transformations from the point of view of the topological conformal algebra and of the non-linear realization of gauge symmetry.
Abstract: Several examples of similarity transformations connecting two string theories with different backgrounds are reviewed. We also discuss general structure behind the similarity transformations from the point of view of the topological conformal algebra and of the non-linear realization of gauge symmetry.
5 citations