The extended entanglement entropy of the type II superstring is computed in thermo field dynamics; its quantum-fluctuation part is UV finite below the Hagedorn temperature, and the Hagedorn divergence comes entirely from thermal fluctuations.
String in AdS Black Hole: A Thermo Field Dynamic Approach
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
hep-th 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Superstring entanglement at finite temperature and its Hagedorn behavior
The extended entanglement entropy of the type II superstring is computed in thermo field dynamics; its quantum-fluctuation part is UV finite below the Hagedorn temperature, and the Hagedorn divergence comes entirely from thermal fluctuations.