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<p>We examine the giant graviton expansions of the Higgs indices for the 3d 𝒩 = 4 <i>U</i>(<i>N</i>) ADHM theories with <i>l</i> fundamental hypermultiplets. The indices for the M5-brane giant gravitons of wrapping number <i>m</i> appearing in the expansions consist of the contributions that generalize the characters of the W-algebra 𝒲(𝔤𝔩(<i>m</i>)) and those which realize the characters of the affine Kac-Moody algebras of type <i>A</i><sub><i>l</i>−1</sub>. Also we confirm that the inverse giant graviton expansions of the resulting M5-brane indices consistently reproduce the Higgs indices.</p>

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Kac-Moody algebras from M5-giants

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月15日

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  • Hirotaka Hayashi,
  • Tomoki Nosaka,
  • Tadashi Okazaki

摘要

We examine the giant graviton expansions of the Higgs indices for the 3d 𝒩 = 4 U(N) ADHM theories with l fundamental hypermultiplets. The indices for the M5-brane giant gravitons of wrapping number m appearing in the expansions consist of the contributions that generalize the characters of the W-algebra 𝒲(𝔤𝔩(m)) and those which realize the characters of the affine Kac-Moody algebras of type Al−1. Also we confirm that the inverse giant graviton expansions of the resulting M5-brane indices consistently reproduce the Higgs indices.