A Note on the Partition Function of ABJM Theory on S-3

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Abstract

We study the partition function Z of U(N)(k) x U(N)(-k) Chern-Simons matter theory (ABJM theory) on S-3 which is recently obtained by the localization method. We evaluate the eigenvalue integral in Z exactly for the N = 2 case. We find that Z has a different dependence on k for even k and odd k. We comment on the possible implication of this result in the context of AdS/CFT correspondence.

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PROGRESS OF THEORETICAL PHYSICS. 127(2):229-242 (2012)

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