We construct a family of 4dN = 1 theories that we call Eρσ[USp(2N)] which exhibit a novel type of 4d IR duality very reminiscent of the mirror duality enjoyed by the 3dN = 4 Tρσ[SU(N)] theories. We obtain the Eρσ[USp(2N)] theories from the recently introduced E[USp(2N)] theory, by following the RG flow initiated by vevs labelled by partitions ρ and σ for two operators transforming in the antisymmetric representations of the USp(2N) × USp(2N) IR symmetries of the E[USp(2N)] theory. These vevs are the 4d uplift of the ones we turn on for the moment maps of T[SU(N)] to trigger the flow to Tρσ[SU(N)]. Indeed the E[USp(2N)] theory, upon dimensional reduction and suitable real mass deformations, reduces to the T[SU(N)] theory. In order to study the RG flows triggered by the vevs we develop a new strategy based on the duality webs of the T[SU(N)] and E[USp(2N)] theories.

Hwang, C., Pasquetti, S., Sacchi, M. (2020). 4d mirror-like dualities. JOURNAL OF HIGH ENERGY PHYSICS, 2020(9) [10.1007/JHEP09(2020)047].

4d mirror-like dualities

Hwang C.;Pasquetti S.;Sacchi M.
2020

Abstract

We construct a family of 4dN = 1 theories that we call Eρσ[USp(2N)] which exhibit a novel type of 4d IR duality very reminiscent of the mirror duality enjoyed by the 3dN = 4 Tρσ[SU(N)] theories. We obtain the Eρσ[USp(2N)] theories from the recently introduced E[USp(2N)] theory, by following the RG flow initiated by vevs labelled by partitions ρ and σ for two operators transforming in the antisymmetric representations of the USp(2N) × USp(2N) IR symmetries of the E[USp(2N)] theory. These vevs are the 4d uplift of the ones we turn on for the moment maps of T[SU(N)] to trigger the flow to Tρσ[SU(N)]. Indeed the E[USp(2N)] theory, upon dimensional reduction and suitable real mass deformations, reduces to the T[SU(N)] theory. In order to study the RG flows triggered by the vevs we develop a new strategy based on the duality webs of the T[SU(N)] and E[USp(2N)] theories.
Articolo in rivista - Articolo scientifico
Duality in Gauge Field Theories; Supersymmetric Gauge Theory; Supersymmetry and Duality;
English
2020
2020
9
47
open
Hwang, C., Pasquetti, S., Sacchi, M. (2020). 4d mirror-like dualities. JOURNAL OF HIGH ENERGY PHYSICS, 2020(9) [10.1007/JHEP09(2020)047].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/330503
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