A monopole index for image Chern–Simons theories Original Research Article

We compute a certain index for an image Chern–Simons theory with gauge group image 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 image. The internal space image has non-trivial two-cycles, and M2-branes wrapped on them contribute to the multi-particle index. We establish one-to-one map between image independent magnetic charges on the gauge theory side and the same number of charges on the gravity side: the M-momentum and image (image) 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 image charges by using analytic and numerical methods.