Exact $\mathcal{N}=2^{\ast }$ Schur line defect correlators

Abstract

We study the Schur line defect correlation functions in $\mathcal{N}=4$ and $\mathcal{N}=2^{\ast }$ $U(N)$ super Yang-Mills (SYM) theory. We find exact closed-form formulae of the correlation functions of the Wilson line operators in the fundamental, antisymmetric and symmetric representations via the Fermi-gas method in the canonical and grand canonical ensembles. All the Schur line defect correlators are shown to be expressible in terms of multiple series that generalizes the Kronecker theta function. From the large $N$ correlators we obtain generating functions for the spectra of the D5-brane giant and the D3-brane dual giant and find a correspondence between the fluctuation modes and the plane partition diamonds.

arXiv comment77 pages, 3 figures, v2: published version in JHEP

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Cited by in corpus (10)

• Large $N$ and large representations of Schur line defect correlators
• Excitations of bubbling geometries for line defects
• Giant graviton expansions and ETW brane
• Orbifold ETW brane and half-indices
• M2-M5 giant graviton expansions
• ADHM Wilson line defect indices
• S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• $\mathcal{N}=4$ line defect correlators of type BCD
• Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Schur Connections: Chord Counting, Line Operators, and Indices