A New Duality Between $\mathcal{N}=8$ Superconformal Field Theories in Three Dimensions

Nathan B. Agmon; Shai M. Chester; Silviu S. Pufu

A New Duality Between $\mathcal{N}=8$ Superconformal Field Theories in Three Dimensions

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arxiv 1708.07861 v1 pith:MA6DLRG7 submitted 2017-08-25 hep-th

Nathan B. Agmon , Shai M. Chester , Silviu S. Pufu This is my paper · ORCID

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keywords theorydualitysuperconformaltheorieseightmathcaltimesabjm

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abstract

We propose a new duality between two 3d $\mathcal{N}=8$ superconformal Chern-Simons-matter theories: the $U(3)_1 \times U(3)_{-1}$ ABJM theory and a theory consisting of the product between the $\left(SU(2)_3\times SU(2)_{-3}\right)/\mathbb{Z}_2$ BLG theory and a free ${\cal N} = 8$ theory of eight real scalars and eight Majorana fermions. As evidence supporting this duality, we show that the moduli spaces, superconformal indices, $S^3$ partition functions, and certain OPE coefficients of BPS operators in the two theories agree.

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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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