Conformal manifolds and 3d mirrors of (D n , D m ) theories

Abstract The Argyres-Douglas (AD) theories of type (D n , D m ), realized by type IIB geometrical engineering on a single hypersurface singularity, are studied. We analyze their conformal manifolds and propose the 3d mirror theories of all theories in this class upon reduction on a circle. A subclas...

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Main Authors: Federico Carta, Simone Giacomelli, Noppadol Mekareeya, Alessandro Mininno
Format: Article
Language:English
Published: SpringerOpen 2022-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2022)014
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author Federico Carta
Simone Giacomelli
Noppadol Mekareeya
Alessandro Mininno
author_facet Federico Carta
Simone Giacomelli
Noppadol Mekareeya
Alessandro Mininno
author_sort Federico Carta
collection DOAJ
description Abstract The Argyres-Douglas (AD) theories of type (D n , D m ), realized by type IIB geometrical engineering on a single hypersurface singularity, are studied. We analyze their conformal manifolds and propose the 3d mirror theories of all theories in this class upon reduction on a circle. A subclass of the AD theories in question that admits marginal couplings is found to be SO or USp gaugings of certain D p (SO(2N)) and D p (USp(2N)) theories. For such theories, we develop a method to derive this weakly-coupled description from the Newton polygon associated to the singularity. We further find that the presence of crepant resolutions of the geometry is reflected in the presence of a (non-abelian) symplectic-type gauge node in the quiver description of the 3d mirror theory. The other important results include the 3d mirrors of all D p (SO(2N)) theories, as well as certain properties of the D p (USp(2N)) theories that admit Lagrangian descriptions.
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spelling doaj.art-71aff3b0569f4947b1f15bda0a12e74d2022-12-22T04:11:58ZengSpringerOpenJournal of High Energy Physics1029-84792022-02-012022214310.1007/JHEP02(2022)014Conformal manifolds and 3d mirrors of (D n , D m ) theoriesFederico Carta0Simone Giacomelli1Noppadol Mekareeya2Alessandro Mininno3Department of Mathematical Sciences, Durham UniversityMathematical Institute, University of OxfordDipartimento di Fisica, Università di Milano-BicoccaInstituto de Física Teórica IFT-UAM/CSICAbstract The Argyres-Douglas (AD) theories of type (D n , D m ), realized by type IIB geometrical engineering on a single hypersurface singularity, are studied. We analyze their conformal manifolds and propose the 3d mirror theories of all theories in this class upon reduction on a circle. A subclass of the AD theories in question that admits marginal couplings is found to be SO or USp gaugings of certain D p (SO(2N)) and D p (USp(2N)) theories. For such theories, we develop a method to derive this weakly-coupled description from the Newton polygon associated to the singularity. We further find that the presence of crepant resolutions of the geometry is reflected in the presence of a (non-abelian) symplectic-type gauge node in the quiver description of the 3d mirror theory. The other important results include the 3d mirrors of all D p (SO(2N)) theories, as well as certain properties of the D p (USp(2N)) theories that admit Lagrangian descriptions.https://doi.org/10.1007/JHEP02(2022)014Extended SupersymmetrySupersymmetric Gauge TheorySupersymmetry and Duality
spellingShingle Federico Carta
Simone Giacomelli
Noppadol Mekareeya
Alessandro Mininno
Conformal manifolds and 3d mirrors of (D n , D m ) theories
Journal of High Energy Physics
Extended Supersymmetry
Supersymmetric Gauge Theory
Supersymmetry and Duality
title Conformal manifolds and 3d mirrors of (D n , D m ) theories
title_full Conformal manifolds and 3d mirrors of (D n , D m ) theories
title_fullStr Conformal manifolds and 3d mirrors of (D n , D m ) theories
title_full_unstemmed Conformal manifolds and 3d mirrors of (D n , D m ) theories
title_short Conformal manifolds and 3d mirrors of (D n , D m ) theories
title_sort conformal manifolds and 3d mirrors of d n d m theories
topic Extended Supersymmetry
Supersymmetric Gauge Theory
Supersymmetry and Duality
url https://doi.org/10.1007/JHEP02(2022)014
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AT simonegiacomelli conformalmanifoldsand3dmirrorsofdndmtheories
AT noppadolmekareeya conformalmanifoldsand3dmirrorsofdndmtheories
AT alessandromininno conformalmanifoldsand3dmirrorsofdndmtheories