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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 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | 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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ISSN: | 1029-8479 1029-8479 |
DOI: | 10.1007/JHEP08(2023)073 |