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arxiv: 1405.3653 · v2 · submitted 2014-05-14 · ✦ hep-th

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Exact results on ABJ theory and the refined topological string

Masazumi Honda , Kazumi Okuyama
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classification ✦ hep-th
keywords functionpartitiontheorychern-simonsexactrefinedstringtopological
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We study the partition function of the ABJ theory, which is the N=6 superconformal Chern-Simons matter theory with gauge group U(N)xU(N+M) and Chern-Simons levels (k,-k). We exactly compute the ABJ partition function on a three sphere for various k, M and N via the Fermi gas approach. By using these exact data, we show that the ABJ partition function is completely determined by the refined topological string on local P^1 x P^1, including membrane instanton effects in the M-theory dual.

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