Entanglement asymmetry in CFT with boundary symmetry breaking

• URL: http://arxiv.org/abs/2411.10244v2
• Date: Fri, 22 Nov 2024 14:25:29 GMT
• Title: Entanglement asymmetry in CFT with boundary symmetry breaking
• Authors: Michele Fossati, Colin Rylands, Pasquale Calabrese,
• Abstract summary: We study the asymmetry of a subsystem $A$ originating from the symmetry-breaking extending into a semi-infinite bulk boundary. By employing the twist field formalism, we derive a universal expression for the asymmetry. Our exact analytical findings are validated through numerical simulations in the critical Ising and 3-state Potts models.
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• 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.

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