Abelianization and sequential confinement in 2 + 1 dimensions

Abstract We consider the lagrangian description of Argyres-Douglas theories of type A 2N −1, which is a SU(N) gauge theory with an adjoint and one fundamental flavor. An appropriate reformulation allows us to map the moduli space of vacua across the duality, and to dimensionally reduce. Going down t...

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Main Authors: Sergio Benvenuti, Simone Giacomelli
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2017)173
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author Sergio Benvenuti
Simone Giacomelli
author_facet Sergio Benvenuti
Simone Giacomelli
author_sort Sergio Benvenuti
collection DOAJ
description Abstract We consider the lagrangian description of Argyres-Douglas theories of type A 2N −1, which is a SU(N) gauge theory with an adjoint and one fundamental flavor. An appropriate reformulation allows us to map the moduli space of vacua across the duality, and to dimensionally reduce. Going down to three dimensions, we find that the adjoint SQCD “abelianizes”: in the infrared it is equivalent to a N = 4 $$ \mathcal{N}=4 $$ linear quiver theory. Moreover, we study the mirror dual: using a monopole duality to “sequentially confine” quivers tails with balanced nodes, we show that the mirror RG flow lands on N = 4 $$ \mathcal{N}=4 $$ SQED with N flavors. These results make the supersymmetry enhancement explicit and provide a physical derivation of previous proposals for the three dimensional mirror of AD theories.
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spelling doaj.art-20469de5b13d4db79c1bb7769d252b0f2022-12-21T20:04:02ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171013610.1007/JHEP10(2017)173Abelianization and sequential confinement in 2 + 1 dimensionsSergio Benvenuti0Simone Giacomelli1International School of Advanced Studies (SISSA)INFN, Sezione di TriesteAbstract We consider the lagrangian description of Argyres-Douglas theories of type A 2N −1, which is a SU(N) gauge theory with an adjoint and one fundamental flavor. An appropriate reformulation allows us to map the moduli space of vacua across the duality, and to dimensionally reduce. Going down to three dimensions, we find that the adjoint SQCD “abelianizes”: in the infrared it is equivalent to a N = 4 $$ \mathcal{N}=4 $$ linear quiver theory. Moreover, we study the mirror dual: using a monopole duality to “sequentially confine” quivers tails with balanced nodes, we show that the mirror RG flow lands on N = 4 $$ \mathcal{N}=4 $$ SQED with N flavors. These results make the supersymmetry enhancement explicit and provide a physical derivation of previous proposals for the three dimensional mirror of AD theories.http://link.springer.com/article/10.1007/JHEP10(2017)173Extended SupersymmetryNonperturbative EffectsSupersymmetric Gauge TheorySupersymmetry and Duality
spellingShingle Sergio Benvenuti
Simone Giacomelli
Abelianization and sequential confinement in 2 + 1 dimensions
Journal of High Energy Physics
Extended Supersymmetry
Nonperturbative Effects
Supersymmetric Gauge Theory
Supersymmetry and Duality
title Abelianization and sequential confinement in 2 + 1 dimensions
title_full Abelianization and sequential confinement in 2 + 1 dimensions
title_fullStr Abelianization and sequential confinement in 2 + 1 dimensions
title_full_unstemmed Abelianization and sequential confinement in 2 + 1 dimensions
title_short Abelianization and sequential confinement in 2 + 1 dimensions
title_sort abelianization and sequential confinement in 2 1 dimensions
topic Extended Supersymmetry
Nonperturbative Effects
Supersymmetric Gauge Theory
Supersymmetry and Duality
url http://link.springer.com/article/10.1007/JHEP10(2017)173
work_keys_str_mv AT sergiobenvenuti abelianizationandsequentialconfinementin21dimensions
AT simonegiacomelli abelianizationandsequentialconfinementin21dimensions