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 $\mathrm{SO}$ or $\mathrm{USp}$ gaugings of certain $D_p(\mathrm{SO}(2N))$ and $D_p(\mathrm{USp}(2N))$ 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 $D_p(\mathrm{SO}(2N))$ theories, as well as certain properties of the $D_p(\mathrm{USp}(2N))$ theories that admit Lagrangian descriptions.

42 pages + 1 appendix

References in corpus (25)

• R-Twisting and 4d/2d Correspondences
• Mirrors of 3d Sicilian theories
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• Lagrangians for generalized Argyres-Douglas theories
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Magnetic quivers for rank 1 theories
• Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups
• New aspects of Argyres--Douglas theories and their dimensional reduction
• Magnetic Quivers from Brane Webs with O5 Planes
• Argyres-Douglas Theories and S-Duality
• N=2 S-duality Revisited
• Complete Graphs, Hilbert Series, and the Higgs branch of the 4d N=2 $(A_n,A_m)$ SCFT's
• S-fold magnetic quivers
• More Three Dimensional Mirror Pairs
• 1-Form Symmetry, Isolated N=2 SCFTs, and Calabi-Yau Threefolds
• Five-brane webs, Higgs branches and unitary/orthosymplectic magnetic quivers
• Magnetic quivers for rank 2 theories
• Factorised 3d $\mathcal{N}=4$ orthosymplectic quivers
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Three Dimensional Mirror Symmetry beyond $ADE$ quivers and Argyres-Douglas theories
• Argyres-Douglas matter and N=2 dualities
• 3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$
• No go for a flow
• 3d mirror for Argyres-Douglas theories

Cited by in corpus (8)

• Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions
• Fibrations and Hasse diagrams for 6d SCFTs
• Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories
• Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers
• Higgs, Coulomb, and Hall-Littlewood
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• A tale of 2-groups: D${}_p$(USp(2N)) theories