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 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 weaklycoupled 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.

Snowmass White Paper on SCFTs

“…Indeed, this is compatible with 3D mirror symmetry duality [245], which exchanges the Higgs branch of theory T A with the Coulomb branch of T B -the mirror dual of T A -and vice versa. Recently there has been a flurry of activity which has improved our general understanding of mirror duals of Argyres-Douglas theories [265][266][267][268][269][270] as well as the identification of new mirror dualities altogether [271][272][273]. Further insights into mirror symmetry can also be obtained [274,275] by exploiting the fact that 3D N = 4 theories have a topological sector [276,277], which descends from the vertex operator algebra (VOA) associated to N = 2 4D SCFTs [278,279] (see below for additional details on the appearance of VOAs).…”

Exploring the orthosymplectic zoo

“…In many cases, though not always, one can show that the magnetic quiver of a given 5d theory, is the 3d mirror of its torus compactification. This leads to an interesting interplay between 5d N = 1 theories and 3d N = 4 theories, and has prompted many recent studies [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76].…”