Brane expansions for anti-symmetric line operator index

Abstract Based on the D5-brane realization of Wilson line operators in anti-symmetric representations, we propose brane expansion formulas for I N,k , the Schur index of N $$ \mathcal{N} $$ = 4 U(N) SYM decorated by line operators in the anti-symmetric representation of rank k. For the large N index...

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Bibliographic Details
Main Authors: Yosuke Imamura, Masato Inoue
Format: Article
Language:English
Published: SpringerOpen 2024-08-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP08(2024)020
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Summary:Abstract Based on the D5-brane realization of Wilson line operators in anti-symmetric representations, we propose brane expansion formulas for I N,k , the Schur index of N $$ \mathcal{N} $$ = 4 U(N) SYM decorated by line operators in the anti-symmetric representation of rank k. For the large N index I ∞,k we propose a double-sum expansion, and for finite N index I N,k we propose a quadruple-sum expansion. Objects causing finite k and finite N corrections are disk D3-branes ending on the D5-brane.
ISSN:1029-8479