The gravity dual of real-time CFT at finite temperature

We present a spherically symmetric aAdS gravity solution with Schwinger-Keldysh boundary condition dual to a CFT at finite temperature defined on a complex time contour. The geometry is built by gluing the exterior of a two-sided AdS Black Hole, the (aAdS) Einstein-Rosen wormhole, with two Euclidean...

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Autores principales: Botta Cantcheff, Marcelo Ángel Nicolás, Martínez, Pedro Jorge, Silva, Guillermo Ariel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
Materias:
Física
AdS-CFT Correspondence
Black Holes
Thermal Field Theory
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/89431
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-89431
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
AdS-CFT Correspondence
Black Holes
Thermal Field Theory
spellingShingle Física
AdS-CFT Correspondence
Black Holes
Thermal Field Theory
Botta Cantcheff, Marcelo Ángel Nicolás
Martínez, Pedro Jorge
Silva, Guillermo Ariel
The gravity dual of real-time CFT at finite temperature
topic_facet Física
AdS-CFT Correspondence
Black Holes
Thermal Field Theory
description We present a spherically symmetric aAdS gravity solution with Schwinger-Keldysh boundary condition dual to a CFT at finite temperature defined on a complex time contour. The geometry is built by gluing the exterior of a two-sided AdS Black Hole, the (aAdS) Einstein-Rosen wormhole, with two Euclidean black hole halves. These pieces are interpreted as the gravity duals of the two Euclidean β/2 segments in the SK path, each coinciding with a Hartle-Hawking-Maldacena (TFD) vacuum state, while the Lorentzian regions naturally describes the real-time evolution of the TFD doubled system. Within the context of Skenderis and van Rees real-time holographic prescription, the new solution should be compared to the Thermal AdS spacetime since both contribute to the gravitational path integral. In this framework, we compute the time ordered 2-pt functions of scalar CFT operators via a non-back-reacting Klein-Gordon field for both backgrounds and confront the results. When solving for the field we find that the gluing leads to a geometric realization of the Unruh trick via a completely holographic prescription. Interesting observations follow from ⟨OLOR⟩, which capture details of the entanglement of the (ground) state and the connectivity of the spacetime.
format Articulo
Articulo
author Botta Cantcheff, Marcelo Ángel Nicolás
Martínez, Pedro Jorge
Silva, Guillermo Ariel
author_facet Botta Cantcheff, Marcelo Ángel Nicolás
Martínez, Pedro Jorge
Silva, Guillermo Ariel
author_sort Botta Cantcheff, Marcelo Ángel Nicolás
title The gravity dual of real-time CFT at finite temperature
title_short The gravity dual of real-time CFT at finite temperature
title_full The gravity dual of real-time CFT at finite temperature
title_fullStr The gravity dual of real-time CFT at finite temperature
title_full_unstemmed The gravity dual of real-time CFT at finite temperature
title_sort gravity dual of real-time cft at finite temperature
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/89431
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