Topological Gravity as Large N Topological Gauge Theory

Details Topological Gravity as Large N Topological Gauge Theory Topological Gravity as Large N Topological Gauge Theory

1998-02-03

arxiv.org/abs/hep-th/9802016v2

Adv.Theor.Math.Phys.2:413-442,1998

Physics

High Energy Physics

High Energy Physics - Theory

Harvmac, 31 pages (big), references added

Scientific paper

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.

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