Abstract
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 their sum is 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.
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Acknowledgments
We thank J.H. Lee and Y. Imamura for useful discussions. We also acknowledge financial support from the INFN grant GSS (Gauge Theories, Strings and Supergravity).
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Beccaria, M., Cabo-Bizet, A. On the brane expansion of the Schur index. J. High Energ. Phys. 2023, 73 (2023). https://doi.org/10.1007/JHEP08(2023)073
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DOI: https://doi.org/10.1007/JHEP08(2023)073