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Time development of conformal field theories associated with $L_{1}$ and $L_{-1}$ operators
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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.
Forward citations
Cited by 3 Pith papers
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Emergent Spatial Structure and Entanglement Localization in Floquet Conformal Field Theory
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Phase Transitions in Quasi-Periodically Driven Quantum Critical Systems: Analytical Results
Quasiperiodically varying the driving Hamiltonian in a 1D conformal field theory produces analytically solvable heating and non-heating phases, with an exact phase transition line.
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JT gravity and deformed CFTs
Deformed CFTs on a strip with a stretched-horizon conformal boundary are proposed as UV completions of pure and matter-coupled JT gravity, reproducing its entropy and a Page-curve-like saturation.
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