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String in AdS Black Hole: A Thermo Field Dynamic Approach | | M. Botta Cantcheff
; Alexandre L. Gadelha
; Dafni F. Z. Marchioro
; Daniel Luiz Nedel
; | | Date: |
15 May 2012 | | Abstract: | Based on Maldacena’s description of an eternal AdS-black hole, we reassess
the Thermo Field Dynamics (TFD) formalism in the context of the AdS/CFT
correspondence. The model studied here involves the maximally extended
AdS-Schwarschild solution and two (non-interacting) copies of the CFT
associated to the global AdS spacetime, along with an extension of the string
by imposing natural gluing conditions in the horizon. We show that the gluing
conditions in the horizon define a string boundary state which is identified
with the TFD thermal vacuum, globally defined in the Kruskal extension of the
AdS black hole. We emphasize the connection of this picture with unitary
SU(1,1) TFD formulation and we show that information about the bulk and the
conformal boundary is present in the SU(1,1) parameters. Using the unitary
SU(1,1) TFD formulation, a canonical prescription for calculating the
worldsheet real time thermal Green’s function is made and the entropy
associated with the entanglement of the two CFT’s is calculated. | | Source: | arXiv, 1205.3438 | | Services: | Forum | Review | PDF | Favorites | |
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