We consider Rényi entropies Sn=1/1-n Tr ρn} of conformal field theories in flat space, with the entangling surface being a sphere. The AdS/CFT correspondence relates this Rényi entropy to that of a black hole with hyperbolic horizon; as the Rényi parameter n increases the temperature of the black hole decreases. If the CFT possesses a sufficiently low dimension scalar operator the black hole will be unstable to the development of hair. Thus, as n is varied, the Rényi entropies will exhibit a phase transition at a critical value of n. The location of the phase transition, along with the spectrum of the reduced density matrix ρ, depends on the dimension of the lowest dimension non-trivial scalar operator in the theory.

Belin, A., Maloney, A., Matsuura, S. (2013). Holographic phases of Rényi entropies. JOURNAL OF HIGH ENERGY PHYSICS, 2013(12) [10.1007/JHEP12(2013)050].

Holographic phases of Rényi entropies

Belin A;
2013

Abstract

We consider Rényi entropies Sn=1/1-n Tr ρn} of conformal field theories in flat space, with the entangling surface being a sphere. The AdS/CFT correspondence relates this Rényi entropy to that of a black hole with hyperbolic horizon; as the Rényi parameter n increases the temperature of the black hole decreases. If the CFT possesses a sufficiently low dimension scalar operator the black hole will be unstable to the development of hair. Thus, as n is varied, the Rényi entropies will exhibit a phase transition at a critical value of n. The location of the phase transition, along with the spectrum of the reduced density matrix ρ, depends on the dimension of the lowest dimension non-trivial scalar operator in the theory.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Black Holes in String Theory; Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT);
English
Belin, A., Maloney, A., Matsuura, S. (2013). Holographic phases of Rényi entropies. JOURNAL OF HIGH ENERGY PHYSICS, 2013(12) [10.1007/JHEP12(2013)050].
Belin, A; Maloney, A; Matsuura, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/396430
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