Dualities of Corner Configurations and Supersymmetric Indices

Abstract

We compute supersymmetric indices which count local operators at certain half-BPS interfaces and quarter-BPS junctions of interfaces in four-dimensional $\mathcal{N}=4$ Super Yang-Mills theory. We use the indices as very stringent tests of a variety of string theory-inspired conjectures about the action of S-duality on such defects.

arXiv comment108 pages, 22 figures, v3: published version in JHEP

References in corpus (27)

• An Index for 4 dimensional Super Conformal Theories
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Counting chiral primaries in N=1 d=4 superconformal field theories
• Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Branes, Superpotentials and Superconformal Fixed Points
• Elliptic genera of 2d N=2 gauge theories
• Index for three dimensional superconformal field theories with general R-charge assignments
• Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups
• D-branes, Monopoles and Nahm Equations
• Bootstrapping the superconformal index with surface defects
• 2d Index and Surface operators
• Holographic Duals of D=3 N=4 Superconformal Field Theories
• Walls, Lines, and Spectral Dualities in 3d Gauge Theories
• Superconformal indices of three-dimensional theories related by mirror symmetry
• Integrable highest weight modules over affine superalgebras and Appell's function
• Dual Boundary Conditions in 3d SCFT's
• Vertex Operator Algebras and 3d N=4 gauge theories
• Webs of W-algebras
• $(0,4)$ dualities
• ADHM Revisited: Instantons and Wilson Lines
• Superconformal Index with Duality Domain Wall
• On elliptic genera of 6d string theories
• (0,4) brane box models
• (2,2) and (0,4) Supersymmetric Boundary Conditions in 3d N = 4 Theories and Type IIB Branes
• Abelian dualities of $\mathcal{N}=(0,4)$ boundary conditions
• Mirror symmetry of 3d $\mathcal{N}=4$ gauge theories and supersymmetric indices

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• Giant graviton expansions and ETW brane
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• Abelian mirror symmetry of $\mathcal{N}=(2,2)$ boundary conditions
• BFT${}_2$: a General Class of $2d$ $\mathcal{N}=(0,2)$ Theories, 3-Manifolds and Toric Geometry
• Orbifold ETW brane and half-indices
• 3d exceptional gauge theories and boundary confinement
• S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Abelian dualities and line defect indices for 3d gauge theories
• Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Quarter-indices for basic ortho-symplectic corners
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs