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

Abstract

Abstract The Argyres-Douglas (AD) theories of type (Dn, Dm), 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 Dp(SO(2N)) and Dp(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 Dp(SO(2N)) theories, as well as certain properties of the Dp(USp(2N)) theories that admit Lagrangian descriptions.