Giant graviton expansions for line operator index

Abstract We discuss giant graviton expansions for the Schur index of N=4 U (N) SYM with the insertion of Wilson lines of the fundamental and antifundamental 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.