2023/05/28 by Beccaria, Matteo, Cabo-Bizet, Alejandro
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2305.17730
We consider the Schur index of \mathcal N=4 U(N) SYM theory in 4d and its holographic giant graviton-type expansion at finite N. We compute the world-volume brane superconformal index by a recently proposed definition of the gauge holonomy integral as a multivariate residue. This is evaluated by a novel deformation algorithm that avoids Gröbner basis methods. Various terms of the brane expansion are computed and shown to be free of wall-crossing singularities to the order we explored. The relation between the brane expansion and previous giant graviton-type represenations of the Schur index is clarified.