The gravity dual of real-time CFT at finite temperature
We present a spherically symmetric aAdS gravity solution with SchwingerKeldyshboundary condition dual to a CFT at finite temperature defined on a complextime contour. The geometry is built by gluing the exterior of a two-sided AdS Black Hole,the (aAdS) Einstein-Rosen wormhole, with two Euclidean bla...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/97271 |
| Acceso en línea: | http://hdl.handle.net/11336/97271 |
| Access Level: | acceso abierto |
| Palabra clave: | AdS/CFT Schwinger Keldysh Real time Holography https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Sumario: | We present a spherically symmetric aAdS gravity solution with SchwingerKeldyshboundary condition dual to a CFT at finite temperature defined on a complextime 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 piecesare interpreted as the gravity duals of the two Euclidean β/2 segments in the SK path, eachcoinciding with a Hartle-Hawking-Maldacena (TFD) vacuum state, while the Lorentzianregions naturally describes the real-time evolution of the TFD doubled system.Within the context of Skenderis and van Rees real-time holographic prescription, thenew solution should be compared to the Thermal AdS spacetime since both contributeto 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 bothbackgrounds and confront the results. When solving for the field we find that the gluingleads to a geometric realization of the Unruh trick via a completely holographic prescription.Interesting observations follow from hOLORi, which capture details of the entanglement ofthe (ground) state and the connectivity of the spacetime. |
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