Monodromy Defects in Maximally Supersymmetric Yang-Mills Theories from Holography

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Hauptverfasser: Conti, Andrea, Stuardo, Ricardo
Format: Preprint
Veröffentlicht: 2025
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author Conti, Andrea
Stuardo, Ricardo
author_facet Conti, Andrea
Stuardo, Ricardo
contents We study three Type II supergravity solutions holographically dual to codimension-2 supersymmetric defects in $(p+1)$-dimensional SU($N$) maximally supersymmetric Yang-Mills theory ($p=2,3,4$). In all of these cases, the defects have a non-trivial monodromy for the maximal abelian subgroup for the SO($9-p$) R-symmetry. Such solutions are obtained by considering branes wrapping spindle configurations, changing the parameters (which alters the coordinate domain), and imposing suitable boundary conditions. We provide a prescription to compute the entanglement entropy of the effective theory on the defect. We find the resulting quantity to be proportional to the free energy of the ambient theory. A similar analysis is performed for the D5-brane wrapping a spindle, but we find that changing the coordinate domain does not lead to a defect solution, but rather to a circle compactification.
format Preprint
id arxiv_https___arxiv_org_abs_2512_10767
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Monodromy Defects in Maximally Supersymmetric Yang-Mills Theories from Holography
Conti, Andrea
Stuardo, Ricardo
High Energy Physics - Theory
We study three Type II supergravity solutions holographically dual to codimension-2 supersymmetric defects in $(p+1)$-dimensional SU($N$) maximally supersymmetric Yang-Mills theory ($p=2,3,4$). In all of these cases, the defects have a non-trivial monodromy for the maximal abelian subgroup for the SO($9-p$) R-symmetry. Such solutions are obtained by considering branes wrapping spindle configurations, changing the parameters (which alters the coordinate domain), and imposing suitable boundary conditions. We provide a prescription to compute the entanglement entropy of the effective theory on the defect. We find the resulting quantity to be proportional to the free energy of the ambient theory. A similar analysis is performed for the D5-brane wrapping a spindle, but we find that changing the coordinate domain does not lead to a defect solution, but rather to a circle compactification.
title Monodromy Defects in Maximally Supersymmetric Yang-Mills Theories from Holography
topic High Energy Physics - Theory
url https://arxiv.org/abs/2512.10767