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Topological Gravity as Large N Topological Gauge Theory | | Rajesh Gopakumar
; Cumrun Vafa
; | | Date: |
3 Feb 1998 | | Journal: | Adv.Theor.Math.Phys. 2 (1998) 413-442 | | Subject: | hep-th | | Abstract: | We consider topological closed string theories on Calabi-Yau manifolds which compute superpotential terms in the corresponding compactified type II effective action. In particular, near certain singularities we compare the partition function of this topological theory (the Kodaira-Spencer theory) to $SU(infty)$ Chern-Simons theory on the vanishing 3-cycle. We find agreement between these theories, which we check explicitly for the case of shrinking $S^3$ and Lens spaces, at the perturbative level. Moreover, the gauge theory has non-perturbative contributions which have a natural interpretation in the Type IIB picture. We provide a heuristic explanation for this agreement as well as suggest further equivalences in other topological gravity/gauge systems. | | Source: | arXiv, hep-th/9802016 | | Services: | Forum | Review | PDF | Favorites | |
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