The Boundary Conformal Field Theories of the 2D Ising critical points

Abstract

We present a new method to identify the Boundary Conformal Field Theories (BCFTs) describing the critical points of the Ising model on the strip. It consists in measuring the low-lying excitation energies spectra of its quantum spin chain for different boundary conditions and then to compare them with those of the different boundary conformal field theories of the $(A_2,A_3)$ minimal model.

7 pages, no figures. Talk given at the XXth International Conference on Integrable Systems and Quantum Symmetries (ISQS-20). Prague, June 2012

References in corpus (4)

• Conformal Boundary Conditions and what they teach us
• Free-field realisation of boundary states and boundary correlation functions of minimal models
• Coulomb-gas approach for boundary conformal field theory
• Excitation Spectrum at the Yang-Lee Edge Singularity of 2D Ising Model on the Strip

Cited by in corpus (3)

• Remarks on Boundaries, Anomalies, and Noninvertible Symmetries
• Open spin chain realization of topological defect on 1d Ising model and boundary and bulk symmetry
• Boundary conformal spectrum and surface critical behaviors of the classical spin systems: a tensor network renormalization study