Time development of conformal field theories associated with $L_1$ and $L_{-1}$ operators

Abstract

In this study, we examined consequences of unconventional time development of two-dimensional conformal field theory induced by the $L_1$ and $L_{-1}$ operators, employing the formalism previously developed in a study of sine-square deformation. We discovered that the retainment of the Virasoro algebra requires the presence of a cut-off near the fixed points. The introduction of a scale by the cut-off makes it possible to recapture the formula for entanglement entropy in a natural and straightforward manner.

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• Emergent Spatial Structure and Entanglement Localization in Floquet Conformal Field Theory
• 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
• Entanglement and geometry from subalgebras of the Virasoro algebra
• Analysis for Lorentzian conformal field theories through sine-square deformation
• Phase Transitions in Quasi-Periodically Driven Quantum Critical Systems: Analytical Results
• Energy Scale Deformation on Regular Polyhedra