The gravity dual of real-time CFT at finite temperature

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作者
Marcelo Botta-Cantcheff
Pedro J. Martínez
Guillermo A. Silva
机构
[1] Universidad Nacional de La Plata,Instituto de Física de La Plata, CCT La Plata, CONICET & Departamento de Física
关键词
AdS-CFT Correspondence; Black Holes; Thermal Field Theory;
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摘要
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.
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