Boundary Criticality of Complex Conformal Field Theory: A Case Study in the Non-Hermitian 5-State Potts Model

Abstract

Conformal fields with boundaries give rise to rich critical phenomena that can reveal information about the underlying conformality. While most existing studies focus on Hermitian systems, here we explore boundary critical phenomena in a non-Hermitian quantum 5-state Potts model which exhibits complex conformality in the bulk. We identify free, fixed and mixed conformal boundary conditions and observe the conformal tower structure of energy spectra, supporting the emergence of conformal boundary criticality. We also studied the duality relation between different conformal boundary conditions under the Kramers-Wannier transformation. These findings should facilitate a comprehensive understanding for complex CFTs and stimulate further exploration on the boundary critical phenomena within non-Hermitian strongly-correlated systems.

31 pages, 7 figures

References in corpus (20)

• Duality and defects in rational conformal field theory
• Associative-algebraic approach to logarithmic conformal field theories
• Fusion of conformal interfaces
• Topological Defects on the Lattice: Dualities and Degeneracies
• Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
• Conformal boundary loop models
• From boundary to bulk in logarithmic CFT
• The two-boundary Temperley-Lieb algebra
• The logarithmic triplet theory with boundary
• Bulk Renormalization Group Flows and Boundary States in Conformal Field Theories
• Analytic Bootstrap in 2D Boundary Conformal Field Theory: Towards Braneworld Holography
• Combinatorial aspects of boundary loop models
• Spaces of states of the two-dimensional O(n) and Potts models
• Reclaiming the Lost Conformality in a non-Hermitian Quantum 5-state Potts Model
• Universal entanglement signatures of interface conformal field theories
• Lattice Realizations of Topological Defects in the critical (1+1)-d Three-State Potts Model
• Global symmetry and conformal bootstrap in the two-dimensional $Q$-state Potts model
• Finite-size corrections to the energy spectra of gapless one-dimensional systems in the presence of boundaries
• Spiral renormalization group flow and universal entanglement spectrum of the non-Hermitian 5-state Potts model
• CFT and Lattice Correlators Near an RG Domain Wall between Minimal Models

Cited by in corpus (2)

• Spiral renormalization group flow and universal entanglement spectrum of the non-Hermitian 5-state Potts model
• Boundary critical phenomena in the quantum Ashkin-Teller model