Superstrings and Topological Strings at Large N

Cumrun Vafa

doi:10.1063/1.1376161

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arXiv · hep-th/0008142

Superstrings and Topological Strings at Large N

Cumrun Vafa

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Abstract

We embed the large N Chern-Simons/topological string duality in ordinary superstrings. This corresponds to a large $N$ duality between generalized gauge systems with N=1 supersymmetry in 4 dimensions and superstrings propagating on non-compact Calabi-Yau manifolds with certain fluxes turned on. We also show that in a particular limit of the N=1 gauge theory system, certain superpotential terms in the N=1 system (including deformations if spacetime is non-commutative) are captured to all orders in 1/N by the amplitudes of non-critical bosonic strings propagating on a circle with self-dual radius. We also consider D-brane/anti-D-brane system wrapped over vanishing cycles of compact Calabi-Yau manifolds and argue that at large $N$ they induce a shift in the background to a topologically distinct Calabi-Yau, which we identify as the ground state system of the Brane/anti-Brane system.

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Cumrun Vafa. 2000-11-28. Superstrings and Topological Strings at Large N. https://doi.org/10.1063/1.1376161

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