Conformal manifolds and 3d mirrors of (Dn, Dm) theories

A bstract 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 subcl...

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Bibliographic Details
Published in:The journal of high energy physics 2022-02, Vol.2022 (2), p.14-43, Article 14
Main Authors: Carta, Federico, Giacomelli, Simone, Mekareeya, Noppadol, Mininno, Alessandro
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Couplings
Elementary Particles
Extended Supersymmetry
Geometry
High energy physics
Hyperspaces
Mirrors
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Singularities
String Theory
Supersymmetric Gauge Theory
Supersymmetry and Duality
Symmetry
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Summary:A bstract 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(2 N )) and D p (USp(2 N )) 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(2 N )) theories, as well as certain properties of the D p (USp(2 N )) theories that admit Lagrangian descriptions.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2022)014