Giant graviton expansions for line operator index

Fuente: arXiv
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Autore principale: Imamura, Yosuke
Natura: Preprint
Pubblicazione: 2024
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author Imamura, Yosuke
author_facet Imamura, Yosuke
contents We discuss giant graviton expansions for the Schur index of ${\cal N}=4$ $U(N)$ SYM with the insertion of Wilson lines of the fundamental and the anti-fundamental 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_11543
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Giant graviton expansions for line operator index
Imamura, Yosuke
High Energy Physics - Theory
We discuss giant graviton expansions for the Schur index of ${\cal N}=4$ $U(N)$ SYM with the insertion of Wilson lines of the fundamental and the anti-fundamental 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.
title Giant graviton expansions for line operator index
topic High Energy Physics - Theory
url https://arxiv.org/abs/2403.11543