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<p>We analyze the line defect correlation functions decorating the supersymmetric indices of <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 4 super Yang-Mills theories with orthogonal and symplectic gauge groups. We obtain exact closed-form expressions for the correlators by means of combinatorial methods associated with the group characters, including the generalized Murnaghan-Nakayama rules. The exact results for the large <i>N</i> correlators lead to the gravity indices for the gravity dual spectrum of the fluctuations of the fundamental string wrapping <i>AdS</i><sub>2</sub> and those of the fat string, the D5-brane wrapping <i>AdS</i><sub>2</sub> × ℝℙ<sup>4</sup>.</p>

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\( \mathcal{N} \) = 4 line defect correlators of type BCD

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月3日

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  • Yasuyuki Hatsuda,
  • Hai Lin,
  • Tadashi Okazaki

摘要

We analyze the line defect correlation functions decorating the supersymmetric indices of N \( \mathcal{N} \) = 4 super Yang-Mills theories with orthogonal and symplectic gauge groups. We obtain exact closed-form expressions for the correlators by means of combinatorial methods associated with the group characters, including the generalized Murnaghan-Nakayama rules. The exact results for the large N correlators lead to the gravity indices for the gravity dual spectrum of the fluctuations of the fundamental string wrapping AdS2 and those of the fat string, the D5-brane wrapping AdS2 × ℝℙ4.