Brane expansions for anti-symmetric line operator index

Yosuke Imamura; Masato Inoue

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arXiv · 2404.08302

Brane expansions for anti-symmetric line operator index

Yosuke Imamura·Masato Inoue

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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 ${\cal N}=4$ $U(N)$ SYM decorated by line operators in the anti-symmetric representation of rank $k$. For the large $N$ index $I_{\infty,k}$ 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.

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Yosuke Imamura, Masato Inoue. 2024-04-12. Brane expansions for anti-symmetric line operator index. https://arxiv.org/abs/2404.08302

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