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Entanglement asymmetry in CFT with boundary symmetry breaking

Fossati M.
•
Rylands C.
•
Calabrese P.
2025
  • journal article

Periodico
JOURNAL OF HIGH ENERGY PHYSICS
Abstract
We examine the behavior of the entanglement asymmetry in the ground state of a (1+1)-dimensional conformal field theory with a boundary condition that explicitly breaks a bulk symmetry. Our focus is on the asymmetry of a subsystem A originating from the symmetry-breaking boundary and extending into a semi-infinite bulk. By employing the twist field formalism, we derive a universal expression for the asymmetry, showing that the asymptotic behavior for large subsystems is approached algebraically, with an exponent which is twice the conformal dimension of a boundary condition-changing operator. As a secondary result, we also establish a similar asymptotic behavior for the string order parameter. Our exact analytical findings are validated through numerical simulations in the critical Ising and 3-state Potts models.
DOI
10.1007/JHEP06(2025)089
WOS
WOS:001508126600001
Archivio
https://hdl.handle.net/20.500.11767/149671
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-105008227069
https://arxiv.org/abs/2411.10244
https://ricerca.unityfvg.it/handle/20.500.11767/149671
Diritti
open access
license:creative commons
license uri:http://creativecommons.org/licenses/by/4.0/
Soggetti
  • Boundary Quantum Fiel...

  • Field Theories in Low...

  • Global Symmetries

  • Scale and Conformal S...

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