Analysis for Lorentzian conformal field theories through sine-square deformation

Abstract

We reexamine two-dimensional Lorentzian conformal field theory using the formalism previously developed in a study of sine-square deformation of Euclidean conformal field theory. We construct three types of Virasoro algebra. One of them reproduces the result by Lüscher and Mack, while another type exhibits the divergence in the central charge term. The other leads the continuous spectrum and contains no closed time-like curve in the system.

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Cited by in corpus (5)

• Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories: Part I
• Classification of $S{L}_2$ deformed Floquet Conformal Field Theories
• Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories (II): Furstenberg's Theorem and Exceptions to Heating Phases
• Sine-square deformation applied to classical Ising models
• Energy Scale Deformation on Regular Polyhedra