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<p>We study configurations of two <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>4</mn> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N}=4 \)</EquationSource> </InlineEquation> 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 <i>q</i>-binomial coefficients and the principal specializations of the Schur functions.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月9日

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  • Yasuyuki Hatsuda,
  • Tadashi Okazaki

摘要

We study configurations of two N = 4 \( \mathcal{N}=4 \) 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.