Discrete gauging and Hasse diagrams

Guillermo Arias-Tamargo; Antoine Bourget; Alessandro Pini

doi:10.21468/SCIPOSTPHYS.11.2.026

Discrete gauging and Hasse diagrams

Guillermo Arias-Tamargo
, Antoine Bourget
, Alessandro Pini

University of Oviedo
Instituto Universitario de Ciencias y Tecnologías Espaciales de Asturias (ICTEA)
Imperial College London
INFN Sezione di Torino

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

We analyse the Higgs branch of 4d N = 2 SQCD gauge theories with non-connected gauge groups SU ^Ý(N) = SU(N) o_I_,II Z₂ whose study was initiated in [1]. We derive the Hasse diagrams corresponding to the Higgs mechanism using adapted characters for representations of non-connected groups. We propose 3d N = 4 magnetic quivers for the Higgs branches in the type I discrete gauging case, in the form of recently introduced wreathed quivers, and provide extensive checks by means of Coulomb branch Hilbert series computations.

Original language	English
Article number	026
Journal	SciPost Physics
Volume	11
Issue number	2
DOIs	https://doi.org/10.21468/SCIPOSTPHYS.11.2.026
Publication status	Published - 1 Aug 2021
Externally published	Yes

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10.21468/SCIPOSTPHYS.11.2.026

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abstract = "We analyse the Higgs branch of 4d N = 2 SQCD gauge theories with non-connected gauge groups SU {\'Y}(N) = SU(N) oI,II Z2 whose study was initiated in [1]. We derive the Hasse diagrams corresponding to the Higgs mechanism using adapted characters for representations of non-connected groups. We propose 3d N = 4 magnetic quivers for the Higgs branches in the type I discrete gauging case, in the form of recently introduced wreathed quivers, and provide extensive checks by means of Coulomb branch Hilbert series computations.",

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AU - Arias-Tamargo, Guillermo

AU - Bourget, Antoine

AU - Pini, Alessandro

N1 - Publisher Copyright: © Copyright G. Arias Tamargo et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.

PY - 2021/8/1

Y1 - 2021/8/1

N2 - We analyse the Higgs branch of 4d N = 2 SQCD gauge theories with non-connected gauge groups SU Ý(N) = SU(N) oI,II Z2 whose study was initiated in [1]. We derive the Hasse diagrams corresponding to the Higgs mechanism using adapted characters for representations of non-connected groups. We propose 3d N = 4 magnetic quivers for the Higgs branches in the type I discrete gauging case, in the form of recently introduced wreathed quivers, and provide extensive checks by means of Coulomb branch Hilbert series computations.

AB - We analyse the Higgs branch of 4d N = 2 SQCD gauge theories with non-connected gauge groups SU Ý(N) = SU(N) oI,II Z2 whose study was initiated in [1]. We derive the Hasse diagrams corresponding to the Higgs mechanism using adapted characters for representations of non-connected groups. We propose 3d N = 4 magnetic quivers for the Higgs branches in the type I discrete gauging case, in the form of recently introduced wreathed quivers, and provide extensive checks by means of Coulomb branch Hilbert series computations.

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JO - SciPost Physics

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Discrete gauging and Hasse diagrams

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