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arXiv · hep-th/0211098

Matrix Model as a Mirror of Chern-Simons Theory

Mina Aganagic·Albrecht Klemm·Marcos Marino·Cumrun Vafa
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Abstract

Using mirror symmetry, we show that Chern-Simons theory on certain manifolds such as lens spaces reduces to a novel class of Hermitian matrix models, where the measure is that of unitary matrix models. We show that this agrees with the more conventional canonical quantization of Chern-Simons theory. Moreover, large N dualities in this context lead to computation of all genus A-model topological amplitudes on toric Calabi-Yau manifolds in terms of matrix integrals. In the context of type IIA superstring compactifications on these Calabi-Yau manifolds with wrapped D6 branes (which are dual to M-theory on G2 manifolds) this leads to engineering and solving F-terms for N=1 supersymmetric gauge theories with superpotentials involving certain multi-trace operators.

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Mina Aganagic, Albrecht Klemm, Marcos Marino, Cumrun Vafa. 2002-11-11. Matrix Model as a Mirror of Chern-Simons Theory. https://doi.org/10.1088/1126-6708%2F2004%2F02%2F010

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