Anomalies and Entanglement Entropy

Abstract

We initiate a systematic study of entanglement and Renyi entropies in the presence of gauge and gravitational anomalies in even-dimensional quantum field theories. We argue that the mixed and gravitational anomalies are sensitive to boosts and obtain a closed form expression for their behavior under such transformations. Explicit constructions exhibiting the dependence of entanglement entropy on boosts is provided for theories on spacetimes with non-trivial magnetic fluxes and (or) non-vanishing Pontryagin classes.

17 pages + appendices

References in corpus (21)

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• Observation of the chiral magnetic effect in ZrTe5
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• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
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• Holographic entanglement entropy and gravitational anomalies
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• Gravitational anomalies, entanglement entropy, and flat-space holography
• Anomalies of the Entanglement Entropy in Chiral Theories
• Holographic Entanglement for Chern-Simons Terms
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Cited by in corpus (16)

• Entanglement entropy: holography and renormalization group
• Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition
• Beyond $a=c$: Gravitational Couplings to Matter and the Stress Tensor OPE
• 't Hooft anomalies and boundaries
• Anomalies of the Entanglement Entropy in Chiral Theories
• Electromagnetic Duality and Entanglement Anomalies
• Entanglement Entropy & Anomaly Inflow
• Universality of anomalous conductivities in theories with higher-derivative holographic duals
• Holographic Entanglement for Chern-Simons Terms
• Entanglement of a chiral fermion on the torus
• Gravitational anomalies on the Newton-Cartan background
• Quantum Information Theory of the Gravitational Anomaly
• Relative Entropy, Mixed Gauge-Gravitational Anomaly and Causality
• Inverted c-functions in thermal states
• Strong subadditivity and holography
• Entanglement, anomalies and Mathisson's helices