String in AdS black hole: A thermo field dynamic approach

MARCELO BOTTA CANTCHEFF; ALEXANDRE GADELHA; DANIEL NEDEL; DAFNI MARCHIORO

PHYSICAL REVIEW D - PARTICLE AND FILDS

AMER PHYS SOC

Año: 2012 vol. 86 p. 86006 - 86015

0556-2821

Based on Maldacena’s description of an eternal anti–de Sitter (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 (noninteracting) copies of the conformal field theory (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 world sheet real time thermal Green’s function is made, and the entropy associated with the entanglement of the two CFT’s is calculated. http://link.aps.org/doi/10.1103/PhysRevD.86.086006