Modular Flow of Celestial Conformal Field Theory

Abstract

We first review the calculations for the modular flow and the vector flow of ${\text{CFT}}_2$, warped CFTs and Bondi-Metzner-Sachs Field Theories (BMSFTs), and then we present the vector flows and modular flows in Celestial field theory and Klein CFTs. We also discuss the search for this structure in Lifshitz and other exotic field theories.

v2: 22 pages, 5 figures, typos corrected, some explanations added

References in corpus (23)

• Entanglement entropy in free quantum field theory
• A Conformal Basis for Flat Space Amplitudes
• Carrollian Perspective on Celestial Holography
• Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition
• A Stereoscopic Look into the Bulk
• Bridging Carrollian and Celestial Holography
• Asymptotic Symmetries and Celestial CFT
• Entanglement, Holography and Causal Diamonds
• $(2,2)$ Scattering and the Celestial Torus
• Modifications to Holographic Entanglement Entropy in Warped CFT
• Modular Berry Connection
• Swing surfaces and holographic entanglement beyond AdS/CFT
• A Modular Sewing Kit for Entanglement Wedges
• Beyond Logarithmic Corrections to Cardy Formula
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• Revisiting Conserved Charges in Higher Curvature Gravitational Theories
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• Entanglement wedge reconstruction and correlation measures in mixed states: modular flows versus quantum recovery channels
• Phase transitions in Bergshoeff-Hohm-Townsend Massive Gravity
• Encoded information of mixed correlations: the views from one dimension higher
• Chaos, Phase Transitions and Curvature Invariants of (rotating, warped, massive) BTZ Black Holes
• Celestial Quantum Error Correction II: From Qudits to Celestial CFT
• Celestial Quantum Error Correction I: Qubits from Noncommutative Klein Space