Topological Gravity as Large N Topological Gauge Theory

dc.creatorGopakumar, Rajesh
dc.creatorVafa, Cumrun
dc.date1998-02-03
dc.date1998-02-18
dc.date.accessioned2026-07-07T11:36:11Z
dc.date.available2026-07-07T11:36:11Z
dc.descriptionWe 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.
dc.descriptionHarvmac, 31 pages (big), references added
dc.identifierhttps://arxiv.org/abs/hep-th/9802016
dc.identifierhttp://arxiv.org/abs/hep-th/9802016
dc.identifierAdv.Theor.Math.Phys.2:413-442,1998
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198837
dc.subjectHigh Energy Physics - Theory
dc.titleTopological Gravity as Large N Topological Gauge Theory
dc.typetext

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