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arXiv · 1210.1371

3d superconformal indices and isomorphisms of M2-brane theories

Masazumi Honda·Yoshinori Honma
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Abstract

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.

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Masazumi Honda, Yoshinori Honma. 2012-10-04. 3d superconformal indices and isomorphisms of M2-brane theories. https://doi.org/10.1007/jhep01(2013)159

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