Entanglement Rényi entropies in conformal field theories and holography

A bstract An entanglement Rényi entropy for a spatial partition of a system is studied in conformal theories which admit a dual description in terms of an anti-de Sitter gravity. The divergent part of the Rényi entropy is computed in 4D conformal super Yang- Mills theory at a weak coupling. This res...

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Published in:The journal of high energy physics 2012-05, Vol.2012 (5), Article 80
Main Author: Fursaev, D. V.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Entanglement
Entropy
High energy physics
Holography
Hyperspaces
Physics
Physics and Astronomy
Polynomials
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
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description A bstract An entanglement Rényi entropy for a spatial partition of a system is studied in conformal theories which admit a dual description in terms of an anti-de Sitter gravity. The divergent part of the Rényi entropy is computed in 4D conformal super Yang- Mills theory at a weak coupling. This result is used to suggest a holographic formula which reproduces the Rényi entropy at least in the leading approximation. The holographic Rényi entropy is an invariant functional set on a codimension 2 minimal hypersurface in the bulk geometry. The bulk space does not depend on order n of the Rényi entropy. The holographic Rényi entropy is a sum of local and non-local functionals multiplied by polynomials of 1/ n .
doi_str_mv 10.1007/JHEP05(2012)080
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subjects Classical and Quantum Gravitation
Elementary Particles
Entanglement
Entropy
High energy physics
Holography
Hyperspaces
Physics
Physics and Astronomy
Polynomials
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
title Entanglement Rényi entropies in conformal field theories and holography
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