A Note on the Partition Function of ABJM theory on S^3

Details A Note on the Partition Function of ABJM theory on S^3 A Note on the Partition Function of ABJM theory on S^3

2011-10-17

arxiv.org/abs/1110.3555v3

Prog. Theor. Phys. 127 (2012), 229-242

Physics

High Energy Physics

High Energy Physics - Theory

16 pages; v2: introduction slightly changed, v3: minor corrections

Scientific paper

10.1143/PTP.127.229

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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