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, the authors consider topological constraints that must be satisfied by formulations of gravitation as a gauge theory and further justify the composite bundle formalism of Tresguerres as a consistent underlying structure capable of incorporating both local Lorentz and translational degrees of freedom.
Abstract: We consider topological constraints that must be satisfied by formulations of gravitation as a gauge theory. To facilitate the analysis we review and further justify the composite bundle formalism of Tresguerres as a consistent underlying structure capable of incorporating both the local Lorentz and translational degrees of freedom. Identifying an important global structure required by the composite construction, we translate this into conditions on the underlying manifold. We find that in addition to admitting the expected orientability, causality and spin structures, the underlying manifold must also admit a string structure. We take this to imply that even before considerations of quantum consistency, topological considerations of gauge gravity provide a classical motivation for extended degrees of freedom.
2 citations
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TL;DR: In this paper, it was shown that the scaling properties of the topological sector of the Calabi-Yau theory are universal in the sense that they are present in every CalabiYau string vacuum.
2 citations
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15 Feb 2005TL;DR: In this article, the BRST operator and the physical states were identified and a topological twist was defined for a 7-dimensional manifold of G 2 holonomy, where the target space is a 7 dimensional manifold of the sigma model.
Abstract: We define new topological theories related to sigma models whose target space is a 7 dimensional manifold of G 2 holonomy. We show how to define the topological twist and identify the BRST operator and the physical states. Correlation functions at genus zero are computed and related to Hitchin’s topological action for three-forms. We conjecture that one can extend this definition to all genus and construct a seven-dimensional topological string theory. In contrast to the four-dimensional case, it does not seem to compute terms in the low-energy effective action in three dimensions.
2 citations
01 Dec 2003
TL;DR: In this article, the generalized mirror transformation of quantum cohomology of general type projective hypersurfaces was derived as an effect of coordinate change of the virtual Gauss-Manin system.
Abstract: In this paper, we explicitly derive the generalized mirror transformation of quantum cohomology of general type projective hypersurfaces, proposed in our previous article, as an effect of coordinate change of the virtual Gauss-Manin system.
2 citations