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arXiv · 2510.25168

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

Yasuyuki Hatsuda·Tadashi Okazaki
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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.

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Yasuyuki Hatsuda, Tadashi Okazaki. 2025-10-29. Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices. https://doi.org/10.1007/jhep02(2026)104

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