We construct a new class of entanglement measures by extending the usual definition of Rényi entropy to include a chemical potential. These charged Rényi entropies measure the degree of entanglement in different charge sectors of the theory and are given by Euclidean path integrals with the insertion of a Wilson line encircling the entangling surface. We compute these entropies for a spherical entangling surface in CFT's with holographic duals, where they are related to entropies of charged black holes with hyperbolic horizons. We also compute charged Rényi entropies in free field theories.

Belin, A., Hung, L., Maloney, A., Matsuura, S., Myers, R., Sierens, T. (2013). Holographic charged Rényi entropies. JOURNAL OF HIGH ENERGY PHYSICS, 2013(12) [10.1007/JHEP12(2013)059].

Holographic charged Rényi entropies

Belin A;
2013

Abstract

We construct a new class of entanglement measures by extending the usual definition of Rényi entropy to include a chemical potential. These charged Rényi entropies measure the degree of entanglement in different charge sectors of the theory and are given by Euclidean path integrals with the insertion of a Wilson line encircling the entangling surface. We compute these entropies for a spherical entangling surface in CFT's with holographic duals, where they are related to entropies of charged black holes with hyperbolic horizons. We also compute charged Rényi entropies in free field theories.
Articolo in rivista - Articolo scientifico
AdS-CFT correspondence; Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT);
English
2013
2013
12
59
reserved
Belin, A., Hung, L., Maloney, A., Matsuura, S., Myers, R., Sierens, T. (2013). Holographic charged Rényi entropies. JOURNAL OF HIGH ENERGY PHYSICS, 2013(12) [10.1007/JHEP12(2013)059].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/396473
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