Kazumi Okuyama
Published 2011-10-17, updated 2012-01-10Version 3
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.
Comments: 16 pages; v2: introduction slightly changed, v3: minor corrections
Journal: Prog. Theor. Phys. 127 (2012), 229-242
ABJM Theory with mass and FI deformations and Quantum Phase Transitions
ABJM theory as a Fermi gas
One-loop supergravity on $\mathrm{AdS}_4\times S^7/\mathbb{Z}_k$ and comparison with ABJM theory
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