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On the brane expansion of the Schur index

A bstract We consider the Schur index of 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...

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Published in:The journal of high energy physics 2023-08, Vol.2023 (8), p.73-28, Article 73
Main Authors: Beccaria, M., Cabo-Bizet, A.
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description A bstract We consider the Schur index of 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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subjects AdS-CFT Correspondence
Algorithms
Branes
Classical and Quantum Gravitation
Elementary Particles
Extended Supersymmetry
Gauge-Gravity Correspondence
Geometry
Gravitons
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
title On the brane expansion of the Schur index
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