A Note on the Partition Function of ABJM theory on S^3
High Energy Physics - Theory
2012-03-03 v3
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.
Keywords
Cite
@article{arxiv.1110.3555,
title = {A Note on the Partition Function of ABJM theory on S^3},
author = {Kazumi Okuyama},
journal= {arXiv preprint arXiv:1110.3555},
year = {2012}
}
Comments
16 pages; v2: introduction slightly changed, v3: minor corrections