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

作者:Okuyama Kazumi*
来源:Progress of Theoretical Physics, 2012, 127(2): 229-242.
DOI:10.1143/PTP.127.229

摘要

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.

  • 出版日期2012-2