Giant graviton expansions for line operator index

2024/03/18 by Yosuke Imamura, Imamura, Yosuke · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2403.11543

openalex publication_date 2024/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss giant graviton expansions for the Schur index of \cal N=4 U(N) SYM with the insertion of Wilson lines of the fundamental and the anti-fundamental representations. We first propose a double-sum giant graviton expansion and numerically confirm that it correctly reproduces the line-operator index. We also find that it reduces to a simple-sum expansion when we treat the index as a Taylor series with respect to a specific fugacity.

Cited by

• Interface line operators in N=4 SYM theories and supersymmetric indices
• Kac-Moody algebras from M5-giants
• Schur Connections: Chord Counting, Line Operators, and Indices
• Abelian dualities and line defect indices for 3d gauge theories
• S-duality of boundary lines in N=4 SYM theories and supersymmetric indices

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