On intersecting conformal defects

Abstract We study the physics of 2 and 3 mutually intersecting conformal defects forming wedges and corners in general dimension. For 2 defects we derive the beta function of the edge interactions for infinite and semi-infinite wedges and study them in the tricritical model in d = 3 – ϵ as an exampl...

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Main Author: Tom Shachar
Format: Article
Language:English
Published: SpringerOpen 2025-03-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP03(2025)103
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author Tom Shachar
author_facet Tom Shachar
author_sort Tom Shachar
collection DOAJ
description Abstract We study the physics of 2 and 3 mutually intersecting conformal defects forming wedges and corners in general dimension. For 2 defects we derive the beta function of the edge interactions for infinite and semi-infinite wedges and study them in the tricritical model in d = 3 – ϵ as an example. We discuss the dependency of the edge anomalous dimension on the intersection angle, connecting to an old issue known in the literature. Additionally, we study trihedral corners formed by 3 planes and compute the corner anomalous dimension, which can be considered as a higher-dimensional analog of the cusp anomalous dimension. We also study 3-line corners related to the three-body potential of point-like impurities.
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spelling doaj-art-83ce26b1e7eb4d29998616362e5893df2025-08-20T03:06:48ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025312510.1007/JHEP03(2025)103On intersecting conformal defectsTom Shachar0The Racah Institute of Physics, The Hebrew University of JerusalemAbstract We study the physics of 2 and 3 mutually intersecting conformal defects forming wedges and corners in general dimension. For 2 defects we derive the beta function of the edge interactions for infinite and semi-infinite wedges and study them in the tricritical model in d = 3 – ϵ as an example. We discuss the dependency of the edge anomalous dimension on the intersection angle, connecting to an old issue known in the literature. Additionally, we study trihedral corners formed by 3 planes and compute the corner anomalous dimension, which can be considered as a higher-dimensional analog of the cusp anomalous dimension. We also study 3-line corners related to the three-body potential of point-like impurities.https://doi.org/10.1007/JHEP03(2025)103Boundary Quantum Field TheoryAnomalies in Field and String TheoriesRenormalization and RegularizationScale and Conformal Symmetries
spellingShingle Tom Shachar
On intersecting conformal defects
Journal of High Energy Physics
Boundary Quantum Field Theory
Anomalies in Field and String Theories
Renormalization and Regularization
Scale and Conformal Symmetries
title On intersecting conformal defects
title_full On intersecting conformal defects
title_fullStr On intersecting conformal defects
title_full_unstemmed On intersecting conformal defects
title_short On intersecting conformal defects
title_sort on intersecting conformal defects
topic Boundary Quantum Field Theory
Anomalies in Field and String Theories
Renormalization and Regularization
Scale and Conformal Symmetries
url https://doi.org/10.1007/JHEP03(2025)103
work_keys_str_mv AT tomshachar onintersectingconformaldefects