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Three-dimensional gauge theories with supersymmetry enhancement

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arxiv 1806.07714 v2 pith:VB2U347A submitted 2018-06-20 hep-th cond-mat.str-el

Dongmin Gang , Masahito Yamazaki This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords gaugemathcalmultiplettheorychiralconjecturecurrentduality
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We conjecture infrared emergent $\mathcal{N}=4$ supersymmetry for a class of three-dimensional $\mathcal{N}=2$ $U(1)$ gauge theories coupled with a single chiral multiplet. One example is the case where $U(1)$ gauge group has the Chern-Simons level $-\frac{3}2$ and the chiral multiplet has gauge charge $+1$. Other examples are related to this example either by known dualities or rescaling the Abelian gauge field. We give three independent evidences for the conjecture: 1) exact match between the central charges of the $U(1)$ R-symmetry current and the $U(1)$ topological symmetry current, 2) semi-classical construction of the $\mathcal{N}=4$ stress-tensor multiplet, and 3) an IR duality between a direct product of the two copies of the 3d theory on the one hand, and an $\mathcal{N}=4$ theory obtained by gauging the diagonal $SU(2)$ flavor symmetry of the $T[SU(2)]$ theory, on the other. The duality in 3) follows from geometrical aspects of the 3d-3d correspondence.

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Cited by 13 Pith papers

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