Flowing with displacements and tilts: surface operators in O(N) models
- 1King’s College London
Abstract
A bstract : Defect conformal field theories have special operators of protected dimension known as displacements and tilts. They arise due to the breaking of global symmetries by the defect and the normalisations of their two-point functions are characteristics of the defect. In the case of surface defects, these normalisations are related to some of the anomaly coefficients in the surface effective action. To study these operators and their flows between different defect renormalization group fixed points we present an elegant approach using conformal perturbation theory that easily reproduces the known examples from the critical Wilson-Fisher O( N ) model in 4 − ε dimensions and allows us to construct new ones in other multiscalar theories. In all the systems that we study the flows are short and under full control, as is the change of the displacement and tilt normalizations. We point out some novel features like the existence of vortices when the defect conformal manifold is not simply connected. In addition to regular human labour, this work relied heavily on generative AI; see full disclosure in methodology section.
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BibTeX
@article{belton2026flowing,
title = {{Flowing with displacements and tilts: surface operators in O(N) models}},
author = {Jake Belton and Nadav Drukker and Biswajit Sahoo},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)157},
url = {https://link.springer.com/article/10.1007/JHEP10(2026)157},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Flowing with displacements and tilts: surface operators in O(N) models
AU - Jake Belton
AU - Nadav Drukker
AU - Biswajit Sahoo
PY - 2026
DA - 2026/10/14
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)157
UR - https://link.springer.com/article/10.1007/JHEP10(2026)157
AB - A bstract : Defect conformal field theories have special operators of protected dimension known as displacements and tilts. They arise due to the breaking of global symmetries by the defect and the normalisations of their two-point functions are characteristics of the defect. In the case of surface defects, these normalisations are related to some of the anomaly coefficients in the surface effective action. To study these operators and their flows between different defect renormalization group fixed points we present an elegant approach using conformal perturbation theory that easily reproduces the known examples from the critical Wilson-Fisher O( N ) model in 4 − ε dimensions and allows us to construct new ones in other multiscalar theories. In all the systems that we study the flows are short and under full control, as is the change of the displacement and tilt normalizations. We point out some novel features like the existence of vortices when the defect conformal manifold is not simply connected. In addition to regular human labour, this work relied heavily on generative AI; see full disclosure in methodology section.
SN - 1029-8479
ER -