Kac-Moody algebras from M5-giants

2025/08/28 by Hayashi, Hirotaka, Nosaka, Tomoki, Okazaki, Tadashi
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2508.20663

Abstract

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(\mathfrakgl(m)) and those which realize the characters of the affine Kac-Moody algebras of type A_l-1. Also we confirm that the inverse giant graviton expansions of the resulting M5-brane indices consistently reproduce the Higgs indices.

Citations

• Giant graviton expansions for line operator index
• Large N expansion of superconformal index of k=1 ABJM theory and semiclassical M5 brane partition function
• Analytic continuation for giant gravitons
• Instanton counting on blowup. II. K-theoretic partition function
• Heisenberg algebra and Hilbert schemes of points on projective surfaces

Cited by

• M2-brane indices on Higgs vacua

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