3d superconformal indices and isomorphisms of M2-brane theories

Masazumi Honda; Yoshinori Honma

3d superconformal indices and isomorphisms of M2-brane theories

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arxiv 1210.1371 v3 pith:FRRYEYPN submitted 2012-10-04 hep-th

Masazumi Honda , Yoshinori Honma This is my paper · ORCID

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keywords theoryexpectedindicesisomorphismsmodulisuperconformaltheoriesabjm

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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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Reflection groups and 3d $\mathcal{N}\ge $ 6 SCFTs
hep-th 2019-08 conditional novelty 7.0 of 10

All known 3d N=8 and N=6 SCFT moduli spaces are quotients by reflection groups, predicting two new N=8 theories and proving the equivalence of two ABJM theories.

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