D1-brane correction to a line operator index

2025/06/06 by Yosuke Imamura, Imamura, Yosuke, Akihiro Sei +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2506.05788

openalex publication_date 2025/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Wilson line operators in the rank k totally symmetric tensor representation of \cal N=4 U(N) sypersymmetric Yang-Mills theories are expected to be realized as D3-branes expanded in AdS₅. Although there is a mismatch between the corresponding line operator indices even in the large N and large k limit, it is possible to calculate the finite k correction on the AdS side as the contribution from D1-branes. We analyze D1-brane fluctuation modes and calculate the leading finite k correction to the line operator index on the AdS side.

Citations

• Brane-fused black hole operators
• Giant graviton expansion for general Wilson line operator indices
• Brane expansions for anti-symmetric line operator index
• Finite N black hole cohomologies
• N = 2 Schur index and line operators
• 'Grey Galaxies' as an endpoint of the Kerr-AdS superradiant instability
• Towards quantum black hole microstates
• The shape of non-graviton operators for SU(2)
• Words to describe a black hole
• The exact Schur index in closed form
• The Giant Graviton Expansion
• Finite-N superconformal index via the AdS/CFT correspondence
• Large AdS black holes from QFT
• 3-Manifolds and 3d Indices
• The Large N Limit of Superconformal Field Theories and Supergravity

Cited by

• Interface line operators in N=4 SYM theories and supersymmetric indices

Related

• Brane expansions for anti-symmetric line operator index
• Finite-N superconformal index via the AdS/CFT correspondence
• On the D5-brane description of (1)/(4)-BPS Wilson loops in N = 4 super Yang-Mills theory
• Leading Giant graviton expansion of Schur correlators in large representations
• N=4 line defect correlators of type BCD