Sequential deconfinement and self-dualities in 4d $$ \mathcal{N} $$ = 1 gauge theories

Self Cite

We consider four dimensional $$ \mathcal{N} $$ N = 1 gauge theories that are S-confining, that is they are dual to a Wess-Zumino model. S-confining theories with a simple gauge group have been classified. We prove all the S-confining dualities in the list, when the matter fields transform in rank-1 and/or rank-2 representations. Our only assumptions are the S-confining dualities for SU(N) with N + 1 flavors and for Usp(2N) with 2N + 4 fundamentals. The strategy consists in a sequence of deconfinements and re-confinements. We pay special attention to the explicit superpotential at each step.

Section: Jhep11(2022)071supporting

confidence: 57%

Section: Discussionmentioning

confidence: 99%

Section: Even Rank: M = 2nmentioning

confidence: 99%

Section: Jhep11(2022)071mentioning

confidence: 99%

“…In a forthcoming paper[13], we will see another instance of issues related to degenerate operators and the failure of applying dualities locally.…”

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confidence: 99%

See 3 more Smart Citations

S-confinements from deconfinements

Bajeot

Benvenuti

2022

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The SL(2, ℤ) dualization algorithm at work

Comi

Hwang

Marino

et al. 2023

Recently an algorithm to dualize a theory into its mirror dual has been proposed, both for 3d$$ \mathcal{N} $$ N = 4 linear quivers and for their 4d$$ \mathcal{N} $$ N = 1 uplift. This mimics the manipulations done at the level of the Type IIB brane setup that engineers the 3d theories, where mirror symmetry is realized as S-duality, but it is enirely field-theoretic and based on the application of genuine infra-red dualities that implement the local action of S-duality on the quiver. In this paper, we generalize the algorithm to the full duality group, which is SL(2, ℤ) in 3d and PSL(2, ℤ) in 4d. This also produces dualities for 3d$$ \mathcal{N} $$ N = 3 theories with Chern-Simons couplings, some of which have enhanced $$ \mathcal{N} $$ N = 4 supersymmetry, and their new 4d$$ \mathcal{N} $$ N = 1 counterpart. In addition, we propose three ways to study the RG flows triggered by possible VEVs appearing at the last step of the algorithm, one of which uses a new duality that implements the Hanany-Witten move in field theory.

A new 4d $$ \mathcal{N} $$ = 1 duality from the superconformal index

Amariti,

Mantegazza

2024

In this paper we propose a physical derivation of a 4d conjectural duality for USp(2N) with an anti-symmetric rank-two tensor and fundamental flavors, in presence of a non-trivial superpotential. This duality has been conjectured as a consequence of an exact identity between the superconformal indices of the two phases, proved in the mathematical literature. Here we show that the duality can be derived by a combined sequence of known dualities, deconfinement of tensor matter, RG flow and Higgsing. Furthermore, by following these steps on the superconformal index, we provide an alternative derivation of the integral identity as well.