Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories

Abstract

Argyres-Douglas theories constitute an important class of superconformal field theories in $4$d. The main focus of this paper is on two infinite families of such theories, known as $D_p^b(\mathrm{SO}(2N))$ and $(A_m,D_n)$. We analyze in depth their conformal manifolds. In doing so we encounter several theories of class $\mathcal{S}$ of twisted $A_{\text{odd}}$, twisted $A_{\text{even}}$ and twisted $D$ types associated with a sphere with one twisted irregular puncture and one twisted regular puncture. These models include $D_p(G)$ theories, with $G$ non-simply-laced algebras. A number of new properties of such theories are discussed in detail, along with new SCFTs that arise from partially closing the twisted regular puncture. Moreover, we systematically present the $3$d mirror theories, also known as the magnetic quivers, for the $D_p^b(\mathrm{SO}(2N))$ theories, with $p\ge b$, and the $(A_m,D_n)$ theories, with arbitrary $m$ and $n$. We also discuss the $3$d reduction and mirror theories of certain $D_p^b(\mathrm{SO}(2N))$ theories, with $p<b$, where the former arises from gauging topological symmetries of some $T_{\rho }^{\sigma }[\mathrm{SO}(2M)]$ theories that are not manifest in the Lagrangian description of the latter.

v2: added references. JHEP accepted. v1: 61 pages + 3 appendices

References in corpus (21)

• S-duality in N=2 supersymmetric gauge theories
• Mirrors of 3d Sicilian theories
• N=1 Deformations and RG Flows of N=2 SCFTs
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• Down the rabbit hole with theories of class S
• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• Lagrangians for generalized Argyres-Douglas theories
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• T^σ_ρ(G) Theories and Their Hilbert Series
• N=1 Lagrangians for generalized Argyres-Douglas theories
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Coulomb branch Hilbert series and Hall-Littlewood polynomials
• Quiver Tails and N=1 SCFTs from M5-branes
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• Higher Form Symmetries of Argyres-Douglas Theories
• Flipping the head of T[SU(N)]: mirror symmetry, spectral duality and monopoles
• New aspects of Argyres--Douglas theories and their dimensional reduction
• More Three Dimensional Mirror Pairs
• Magnetic Lattices for Orthosymplectic Quivers
• 3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$

Cited by in corpus (22)

• Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
• Maruyoshi-Song Flows and Defect Groups of $D_p^b(G)$ Theories
• 1-Form Symmetry, Isolated N=2 SCFTs, and Calabi-Yau Threefolds
• Comments on Non-invertible Symmetries in Argyres-Douglas Theories
• 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
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• Higgs, Coulomb, and Hall-Littlewood
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• 3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry
• Higgs Branches of rank-0 5d theories from M-theory on $(A_j,A_l)$ and $(A_k,D_n)$ singularities
• Exploring the orthosymplectic zoo
• 5d Higgs Branches from M-theory on quasi-homogeneous cDV threefold singularities
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Infinitely many 4d N=1 SCFTs with a=c
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• 3d SUSY enhancement and non-semisimple TQFTs from four dimensions
• Orthosymplectic Quotient Quiver Subtraction
• Quiver Polymerisation
• From Regular to Irregular: A Unified Origin for Argyres-Douglas Theories
• Magnetic quivers from brane webs with O7${}^{+}$-planes
• Aspects of 4d supersymmetric dynamics and geometry