The Superconformal Index of Class S Theories of Type D

Abstract

We consider the superconformal index of class S theories of type D, which arise by compactification of the (2,0) D_n theories on a punctured Riemann surface C. We also allow for the presence of twist lines on C associated to the Z_2 outer automorphism of D_n. For a two-parameter slice (p=0, q, t) in the space of superconformal fugacities, we determine the 2d TQFT that computes the index.

33 pages, 10 figures; v2: minor typos corrected, published version

References in corpus (9)

• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• Tinkertoys for Gaiotto Duality
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
• Refined Chern-Simons Theory and Topological String
• 2d TQFT structure of the superconformal indices with outer-automorphism twists
• 5D SYM and 2D q-Deformed YM
• 5D SYM on 3D Sphere and 2D YM
• N=2 S-duality via Outer-automorphism Twists
• Superconformal Index with Duality Domain Wall

Cited by in corpus (39)

• W Symmetry in six dimensions
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• Chiral algebras of class S
• Down the rabbit hole with theories of class S
• Tinkertoys for the Twisted D-Series
• LieART 2.0 -- A Mathematica Application for Lie Algebras and Representation Theory
• Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
• Vertex operator algebras of Argyres-Douglas theories from M5-branes
• Chiral Algebras for Trinion Theories
• Coulomb branch Hilbert series and Hall-Littlewood polynomials
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• Compactifications of 6d $N=(1,0)$ SCFTs with non-trivial Stiefel-Whitney classes
• Tinkertoys for the Z3-twisted D4 Theory
• On Irregular Singularity Wave Functions and Superconformal Indices
• A review of the T_N theory and its cousins
• 2d TQFT structure of the superconformal indices with outer-automorphism twists
• A slow review of the AGT correspondence
• New N=2 superconformal field theories from S-folds
• New N=1 Dualities from M5-branes and Outer-automorphism Twists
• Magnetic quivers for rank 2 theories
• Tinkertoys for the E7 Theory
• The exact Schur index in closed form
• Argyres-Douglas Theories in Class S Without Irregularity
• A Family of $4D$ $\mathcal{N}=2$ Interacting SCFTs from the Twisted $A_{2N}$ Series
• Minimal $(D,D)$ conformal matter and generalizations of the van Diejen model
• Distinguishing 6d (1,0) SCFTs: an extension to the geometric construction
• Higgs, Coulomb, and Hall-Littlewood
• On the compactification of 5d theories to 4d
• Discrete gauging and Hasse diagrams
• 3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$
• Brane webs in the presence of an $O{5}^{-}$-plane and 4d class S theories of type D
• Confinement and duality in supersymmetric gauge theories
• $C_2$ generalization of the van Diejen model from the minimal $(D_5,D_5)$ conformal matter
• Distinquishing 4d N=2 SCFTs
• Wilson punctured network defects in 2D q-deformed Yang-Mills theory
• Twisted chiral algebras of class $\mathcal{S}$ and mixed Feigin-Frenkel gluing
• New Dualities and Misleading Anomaly Matchings from Outer-automorphism Twists
• Orbi-Instantons and Class $\mathcal{S}$ Theories of Type D
• Aspects of 4d supersymmetric dynamics and geometry