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arxiv: 1809.03925 · v1 · pith:AIGOWKAYnew · submitted 2018-09-11 · ✦ hep-th

A tale of exceptional 3d dualities

classification ✦ hep-th
keywords dualitiesgaugetheoriesadjoint-dualityexceptionalmanymathcal
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We consider interesting Seiberg dualities for $Usp$ gauge theories with an antisymmetric, $8$ fundamentals and no superpotential. We reduce to three dimensions and systematically analyze deformations triggered by real and complex masses, reaching a plethora of $\mathcal{N}\!=\!2$ dualities for $U(N)$ and $Usp(2N)$ gauge theories, possibly with monopole superpotentials and Chern-Simons interactions. Special cases of these "exceptional dualities" are: supersymmetry enhancement dualities, "duality appetizers" and many known dualities relating rank-$1$ gauge groups. The $4d$ $\mathcal{N}\!=\!1$ $Usp$ dualities provide a unified perspective on many curious phenomena of $3d$ and $4d$ gauge theories with four supercharges. Finally, we propose a free mirror for $A_{2N}$ Argyres-Douglas, with its related adjoint-$Usp(2N)$ duality, and we construct a mirror for adjoint-$U(N)$, with an arbitrary number flavors and zero superpotential.

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    High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and assoc...