Gravitational anomalies, entanglement entropy, and flat-space holography
arXiv:1507.06625 · doi:10.1103/PhysRevD.93.046005
Abstract
We introduce a prescription to compute the entanglement entropy of Galilean conformal field theories by combining gravitational anomalies and an İnönü-Wigner contraction. We find that our expression for the entanglement entropy in the thermal limit reproduces the Cardy formula for Galilean conformal field theories. Using this proposal, we calculate the entanglement entropy for a class of Galilean conformal field theories, which are believed to be dual to three-dimensional flat-space cosmological solutions. These geometries describe expanding (contracting) universes and can be viewed as the flat-space limit of rotating Bañados-Teitelboim-Zanelli black holes. We show that our finding reduces, in the appropriate limits, to the results discussed in the literature and provide interpretations for the previously unexplored regimes, such as flat-space chiral gravity.
7 pages, V2: refs added, published version
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Cited by in corpus (25)
- Entanglement Entropy in Flat Holography
- BMS Particles in Three Dimensions
- Entanglement Entropy in Warped Conformal Field Theories
- Modifications to Holographic Entanglement Entropy in Warped CFT
- Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
- Swing surfaces and holographic entanglement beyond AdS/CFT
- Geometric actions and flat space holography
- Generalized Gravitational Entropy for Warped Anti-de Sitter Space
- Modular Hamiltonians in flat holography and (W)AdS/WCFT
- Entanglement negativity in Galilean conformal field theories
- Anomalies of the Entanglement Entropy in Chiral Theories
- Anomalies and Entanglement Entropy
- Entanglement Entropy & Anomaly Inflow
- Entanglement and mutual information in two-dimensional nonrelativistic field theories
- How General Is Holography?
- Complexity Growth in Flat Spacetimes
- Aspects of Ultra-Relativistic Field Theories via Flat-space Holography
- First Law of Entanglement Entropy in Flat-Space Holography
- Semi-classical BMS-blocks from the Oscillator Construction
- Holographic Calculation of BMSFT Mutual and 3-partite Information
- Stress Tensor Correlators of CCFT using Flat-Space Holography
- Logarithmic Correction to BMSFT Entanglement Entropy
- Entanglement Negativity in Flat Holography
- Thermal Corrections to Rényi Entropy in BMS Field Theory
- Entanglement, anomalies and Mathisson's helices