1210.1371 (Masazumi Honda et al.)

3d superconformal indices and isomorphisms of M2-brane theories    [PDF]

Masazumi Honda, Yoshinori Honma

We test several expected isomorphisms between the U(N)xU(N) ABJM theory and (SU(N)xSU(N))/Z_N theory including the BLG theory by comparing their superconformal indices. From moduli space analysis, it is expected that this equivalence can hold if and only if the rank N and Chern-Simons level k are coprime. We also calculate the index of the ABJ theory and investigate whether some theories with identical moduli spaces are isomorphic or not .

View original: http://arxiv.org/abs/1210.1371