BLG theories at low values of Chern-Simons coupling

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.

arXiv comment10 pages, second version, references added

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Cited by in corpus (4)

• Solving M-theory with the Conformal Bootstrap
• Reflection groups and 3d $\mathcal{N}\ge$ 6 SCFTs
• Relations between supersymmetric structures in UV and IR for $\mathcal{N}=4$ bad theories
• Lectures on 4d N=1 dynamics and related topics