Down the rabbit hole with theories of class S

Abstract

We review some of the properties of 3d N=4 theories obtained by dimensionally reducing theories of class S. We study 3d partition functions, and certain limits thereof, for such theories, and the properties implied for these by 3d mirror symmetry.

References in corpus (7)

• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• Mirrors of 3d Sicilian theories
• Superconformal indices of three-dimensional theories related by mirror symmetry
• AGT on the S-duality Wall
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• Tri-vertices and SU(2)'s
• Superconformal Index with Duality Domain Wall

Cited by in corpus (36)

• Coulomb Branch and The Moduli Space of Instantons
• T^σ_ρ(G) Theories and Their Hilbert Series
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• Higher Form Symmetries of Argyres-Douglas Theories
• Mean string field theory: Landau-Ginzburg theory for 1-form symmetries
• Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence
• Boundaries, Vermas, and Factorisation
• Non-unitary TQFTs from 3D $\mathcal{N}=4$ rank 0 SCFTs
• The moduli spaces of $3d$ $\mathcal{N}\ge 2$ Chern-Simons gauge theories and their Hilbert series
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers
• Higgs, Coulomb, and Hall-Littlewood
• The $SL(2,\mathbb{Z})$ dualization algorithm at work
• Topological Correlators and Surface Defects from Equivariant Cohomology
• Dualities and flavored indices of M2-brane SCFTs
• Marginal operators and supersymmetry enhancement in 3d $S$-fold SCFTs
• 3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry
• Infrared phases of 3D Class R theories
• Giant graviton expansions and ETW brane
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• 3d SUSY enhancement and non-semisimple TQFTs from four dimensions
• M2-branes and plane partitions
• Orbifold ETW brane and half-indices
• M2-M5 giant graviton expansions
• ADHM Wilson line defect indices
• Exact Correlators of BPS Operators from the 3d Superconformal Bootstrap
• Abelian dualities and line defect indices for 3d gauge theories
• The Hilbert series of 3d N=2 Yang-Mills theories with vectorlike matter
• Three Dimensional Topological Field Theories and Nahm Sum Formulas
• Fermi-gas correlators of ADHM theory and triality symmetry
• Factorization of the 3d superconformal index with an adjoint matter
• Vacua, Symmetries, and Higgsing of Chern-Simons Matter Theories
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs
• Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Mixed moduli in 3d N=4 higher-genus quivers