Sporadic dualities from tensor deconfinement

TL;DR

This paper provides a field theory explanation for two confining dualities in supersymmetric gauge theories, using tensor deconfinement and dualities, and offers alternative proofs for localization-derived identities.

Contribution

It introduces a novel field theory approach to explain confining dualities and proves their validity through tensor deconfinement and sequential dualities.

Findings

Confirmed confining dualities via tensor deconfinement techniques.

Provided alternative proofs for localization-based identities.

Demonstrated the effectiveness of sequential dualities in IR analysis.

Abstract

In this paper we give a field theory explanation of two confining dualities that have been proposed in the literature based on exact results from supersymmetric localization. The first confining model under investigation is 4d $SU(N_c+1)$ SQCD with a conjugate rank-$2$ anti-symmetric tensor, $N_c+3$ anti-fundamentals, $2N_c$ fundamentals and a superpotential that couples the anti-symmetric tensor and the fundamentals. The second confining model studied here is $3d$ $\mathcal{N}=2$ $USp(4)$ gauge SQCD with two fundamentals, two rank-$2$ anti-symmetric tensors and vanishing superpotential. Here we prove that these models are confining by using the technique of deconfining the anti-symmetric tensors and then by flowing to the IR description by sequential dualities. As a bonus the analysis provides (alternative) proofs of the identities obtained from supersymmetric localization.