Superstring in a pp-wave background at finite temperature. TFD approach

Abstract

A thermodynamical analysis for the type IIB superstring in a pp-wave background is considered.The thermal Fock space is built and the temperature SUSY breaking appears naturally by analyzing the thermal vacuum. All the thermodynamical quantities are derived by evaluating matrix elements of operators in the thermal Fock space. This approach seems to be suitable to study thermal effects in the BMN correspondence context. *

Closed string thermal torus from thermo field dynamics

“…We show that these boundary equations are in fact the thermal state conditions and the thermal vacuum is the boundary state solution that comes from the identification of the two strings. With this we clarify why the TFD computations carried out in our previous works [15,16,17] reproduce the results coming from the Imaginary Time formalism for free closed strings, where the theory is defined on a torus. The interpretation for the torus in TFD presented here agrees with that given by Laflamme [32], where the original and tilde fields live in different surfaces.…”

String in AdS black hole: A thermo field dynamic approach

“…with respect to the transformation parameters [10], defining the open string thermal vacuum. Here U is given by the vacuum expectation value of the open string Hamiltonian in the thermal vacuum and S is the entropy given in (48). The solution for the Bogoliubov transformation parameters is given by the Bose-Einstein distribution.…”

ThermalD-brane boundary states from Green-Schwarz superstrings

“…In the light cone gauge, this reduces to the inclusion of the level matching condition in the trace (see the Section 4 and the references [1,22,39].) The Bogoliubov operator of a single oscillator can be given a linear form.…”

“…The statistical properties of strings and string field in the TFD framework have been previously studied in [8,9,10,11,12,13,15,16,17,18,19,20]. More recently, the analysis of thermal bosonic open string states [21] and the calculation of string entropy from TFD in pp-wave background were performed in [22,23]. An important result was obtained in [24] where it was shown the equivalence between the TFD and the Matsubara formalisms, respectively, in the string theory (see also [25,26].)…”