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Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories

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arxiv 1001.4779 v3 pith:HWP3EILW submitted 2010-01-26 hep-th

Neil Lambert , Constantinos Papageorgakis This is my paper · ORCID
classification hep-th
keywords theoryabjmchern-simonsequivalentmodelconjectureconsequencecoprime
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By integrating out the U(1)_B gauge field, we show that the U(n)xU(n) ABJM theory at level k is equivalent to a Z_k identification of the (SU(n)xSU(n))/Z_n Chern-Simons theory, but only when n and k are coprime. As a consequence, the k=1 ABJM model for two M2-branes in R^8 can be identified with the N=8 (SU(2)xSU(2))/Z_2 theory. We also conjecture that the U(2)xU(2) ABJM model at k=2 is equivalent to the N=8 SU(2)xSU(2)-theory.

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  1. 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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