On intersecting conformal defects

doi:10.1007/JHEP03(2025)103

On intersecting conformal defects

2025-03-13

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Tom Shachar *

DOI：10.1007/JHEP03(2025)103

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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 - & varepsilon; 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.

Keyword:

Boundary Quantum Field Theory

Anomalies in Field and String Theories

Renormalization and Regularization

Scale and Conformal Symmetries

On intersecting conformal defects

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