3d superconformal indices and isomorphisms of M2-brane theories
High Energy Physics - Theory
2015-06-11 v3
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.
Keywords
Cite
@article{arxiv.1210.1371,
title = {3d superconformal indices and isomorphisms of M2-brane theories},
author = {Masazumi Honda and Yoshinori Honma},
journal= {arXiv preprint arXiv:1210.1371},
year = {2015}
}
Comments
28 pages, no figure; v2: references added; v3: few typos corrected