Matrix Model as a Mirror of Chern-Simons Theory

  title={Matrix Model as a Mirror of Chern-Simons Theory},
  author={Mina Aganagic and Albrecht Klemm and Marcos Mari{\~n}o and Cumrun Vafa},
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… CONTINUE READING
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