Integrable Conformal Defects in N=4 SYM

Fuente: arXiv
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Autores principales: de Leeuw, Marius, Holguin, Adolfo
Formato: Preprint
Publicado: 2024
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author de Leeuw, Marius
Holguin, Adolfo
author_facet de Leeuw, Marius
Holguin, Adolfo
contents In this paper we classify integrable conformal defects in N=4 SYM theory for which the scalar fields pick up a non-trivial vacuum expectation value. Defects of this form correspond to Dirichlet boundary conditions that have a pole at the defect. These set-ups typically appear on the field theory side of probe brane set-ups in the AdS/CFT correspondence. We show that such defects, for any codimension, are related to fuzzy spheres. We discuss the properties of the different possible fuzzy spheres that can appear and present the corresponding Matrix Product States. We furthermore set-up the quantum field theoretic framework by computing the mass matrix and finding the propagators.
format Preprint
id arxiv_https___arxiv_org_abs_2406_13741
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Integrable Conformal Defects in N=4 SYM
de Leeuw, Marius
Holguin, Adolfo
High Energy Physics - Theory
In this paper we classify integrable conformal defects in N=4 SYM theory for which the scalar fields pick up a non-trivial vacuum expectation value. Defects of this form correspond to Dirichlet boundary conditions that have a pole at the defect. These set-ups typically appear on the field theory side of probe brane set-ups in the AdS/CFT correspondence. We show that such defects, for any codimension, are related to fuzzy spheres. We discuss the properties of the different possible fuzzy spheres that can appear and present the corresponding Matrix Product States. We furthermore set-up the quantum field theoretic framework by computing the mass matrix and finding the propagators.
title Integrable Conformal Defects in N=4 SYM
topic High Energy Physics - Theory
url https://arxiv.org/abs/2406.13741