Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices

Abstract

We study configurations of two $\mathcal{N}=4$ super Yang-Mills theories of unitary gauge groups connected by the BPS interfaces involving line operators. We find strong evidence of S-duality of the configurations as precise matching of the line defect half-indices which enumerate the BPS local operators at the junctions of the interfaces and line operators. The interface line defect half-indices are expressible as intriguing closed-form formulae involving the $q$-binomial coefficients and the principal specializations of the Schur functions.

48 pages, 1 figure, v2: published version in JHEP

References in corpus (39)

• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Reading between the lines of four-dimensional gauge theories
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality
• Holographic Wilson Loops
• Index for three dimensional superconformal field theories with general R-charge assignments
• All-genus calculation of Wilson loops using D-branes
• D-branes, Monopoles and Nahm Equations
• Wilson Loops of Anti-symmetric Representation and D5-branes
• Knot Invariants from Four-Dimensional Gauge Theory
• Wilson Loops as D3-Branes
• On Orientifolds, Discrete Torsion, Branes and M Theory
• Orientifolds, Branes, and Duality of 4D Gauge Theories
• Down the rabbit hole with theories of class S
• Macdonald's Evaluation Conjectures and Difference Fourier Transform
• Multiply wound Polyakov loops at strong coupling
• Infrared Computations of Defect Schur Indices
• Self-dual Koornwinder-Macdonald polynomials
• Line Operator Index on S1 $\times$ S3
• Mirror symmetry by O3-planes
• Holographic Interface-Particle Potential
• Semi-classical open string corrections and symmetric Wilson loops
• Superconformal Index with Duality Domain Wall
• Computing Wilson lines with dielectric branes
• On 't Hooft Defects, Monopole Bubbling and Supersymmetric Quantum Mechanics
• Exact $\mathcal{N}=2^{\ast }$ Schur line defect correlators
• Mirror symmetry of 3d $\mathcal{N}=4$ gauge theories and supersymmetric indices
• Dualities of Corner Configurations and Supersymmetric Indices
• Large $N$ and large representations of Schur line defect correlators
• Giant graviton expansions and ETW brane
• Excitations of bubbling geometries for line defects
• Orbifold ETW brane and half-indices
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Abelian dualities and line defect indices for 3d gauge theories
• 't Hooft Operators on an Interface and Bubbling D5-Branes
• $\mathcal{N}=4$ line defect correlators of type BCD