A monopole index for N=4 Chern-Simons theories

作者：Imamura Yosuke; Yokoyama Shuichi^*

来源：Nuclear Physics B, 2010, 827(1-2): 183-216.

DOI：10.1016/j.nuclphysb.2009.10.025

We compute a certain index for an N = 4 Chern-Simons theory with gauge group U(N)(r) in the large N limit with taking account of monopole contribution, and compare it to the corresponding multi-particle index for M-theory in the dual geometry AdS(4) x X(7). The internal space X(7) has non-trivial two-cycles, and M2-branes wrapped on them contribute to the multi-particle index. We establish one-to-one map between r - 1 independent magnetic charges on the gauge theory side and the same number of charges on the gravity side: the M-momentum and r - 2 (= b(2)(X(7))) wrapping numbers. With a certain assumption for the wrapped M2-brane contribution, we confirm the agreement of the indices for many sectors specified by the r - 1 charges by using analytic and numerical methods.

• 出版日期2010-3-1