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BLG theories at low values of Chern-Simons coupling

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arxiv 1211.4887 v2 pith:R27VVMJT submitted 2012-11-20 hep-th

classification hep-th
keywords theoriestimesmathbbmathcalproductscftabjmchecked
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

It was checked in paper [1] by comparing the moduli spaces and superconformal indices that two of the BLG theories $(SU(2)_{1}\times SU(2)_{-1})/{\mathbb Z}_2$ and $SU(2)_2\times SU(2)_{-2}$ are dual to $U(2)_1\times U(2)_{-1}$ and $U(2)_{2}\times U(2)_{-2}$ ABJM theories, correspondingly. In this paper we consider the BLG theories $SU(2)_1\times SU(2)_{-1}$ and $(SU(2)_2\times SU(2)_{-2})/{\mathbb Z}_2$. These theories were noted in [1] to be a tensor product of two interacting ${\mathcal N}=8$ SCFT's. In this paper we identify the SCFT's that occur in the product. For both theories one of the sectors is the IR limit of ${\mathcal N}=8$ SU(2) SYM.

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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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