New aspects of Argyres-Douglas theories and their dimensional reduction

Argyres-Douglas (AD) theories constitute an infinite class of superconformal field theories in four dimensions with a number of interesting properties. We study several new aspects of AD theories engineered in A-type class S with one irregular puncture of Type I or Type II and also a regular punctur...

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Main Authors: Giacomelli, S, Mekareeya, N, Sacchi, M
Format: Journal article
Language:English
Published: Springer 2021
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author Giacomelli, S
Mekareeya, N
Sacchi, M
author_facet Giacomelli, S
Mekareeya, N
Sacchi, M
author_sort Giacomelli, S
collection OXFORD
description Argyres-Douglas (AD) theories constitute an infinite class of superconformal field theories in four dimensions with a number of interesting properties. We study several new aspects of AD theories engineered in A-type class S with one irregular puncture of Type I or Type II and also a regular puncture. These include conformal manifolds, structures of the Higgs branch, as well as the three dimensional gauge theories coming from the reduction on a circle. We find that the latter admits a description in terms of a linear quiver with unitary and special unitary gauge groups, along with a number of twisted hypermultiplets. The origin of these twisted hypermultiplets is explained from the four dimensional perspective. We also propose the three dimensional mirror theories for such linear quivers. These provide explicit descriptions of the magnetic quivers of all the AD theories in question in terms of quiver diagrams with unitary gauge groups, together with a collection of free hypermultiplets. A number of quiver gauge theories presented in this paper are new and have not been studied elsewhere in the literature.
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spelling oxford-uuid:d2413f3c-d6ac-443a-b103-7a5b8e007fd02022-03-27T08:02:31ZNew aspects of Argyres-Douglas theories and their dimensional reductionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d2413f3c-d6ac-443a-b103-7a5b8e007fd0EnglishSymplectic ElementsSpringer2021Giacomelli, SMekareeya, NSacchi, MArgyres-Douglas (AD) theories constitute an infinite class of superconformal field theories in four dimensions with a number of interesting properties. We study several new aspects of AD theories engineered in A-type class S with one irregular puncture of Type I or Type II and also a regular puncture. These include conformal manifolds, structures of the Higgs branch, as well as the three dimensional gauge theories coming from the reduction on a circle. We find that the latter admits a description in terms of a linear quiver with unitary and special unitary gauge groups, along with a number of twisted hypermultiplets. The origin of these twisted hypermultiplets is explained from the four dimensional perspective. We also propose the three dimensional mirror theories for such linear quivers. These provide explicit descriptions of the magnetic quivers of all the AD theories in question in terms of quiver diagrams with unitary gauge groups, together with a collection of free hypermultiplets. A number of quiver gauge theories presented in this paper are new and have not been studied elsewhere in the literature.
spellingShingle Giacomelli, S
Mekareeya, N
Sacchi, M
New aspects of Argyres-Douglas theories and their dimensional reduction
title New aspects of Argyres-Douglas theories and their dimensional reduction
title_full New aspects of Argyres-Douglas theories and their dimensional reduction
title_fullStr New aspects of Argyres-Douglas theories and their dimensional reduction
title_full_unstemmed New aspects of Argyres-Douglas theories and their dimensional reduction
title_short New aspects of Argyres-Douglas theories and their dimensional reduction
title_sort new aspects of argyres douglas theories and their dimensional reduction
work_keys_str_mv AT giacomellis newaspectsofargyresdouglastheoriesandtheirdimensionalreduction
AT mekareeyan newaspectsofargyresdouglastheoriesandtheirdimensionalreduction
AT sacchim newaspectsofargyresdouglastheoriesandtheirdimensionalreduction