Giant graviton expansions for line operator index

Abstract

We discuss giant graviton expansions for the Schur index of $\mathcal{N}=4$ $U(N)$ 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.

15 pages, v2:reference added and typos corrected

Cited by in corpus (1)

• Schur Connections: Chord Counting, Line Operators, and Indices