Thermal String Vacuum in Black-Hole AdS Spacetime

TL;DR

This paper introduces a new ansatz for thermal strings in the TFD framework, deriving the thermal vacuum and partition function in black-hole AdS spacetime, advancing understanding of string thermodynamics in curved backgrounds.

Contribution

It presents a novel ansatz for thermal strings in the TFD formulation and computes the thermal vacuum and partition function in black-hole AdS spacetime.

Findings

Derived the thermal vacuum for closed bosonic strings.

Calculated the thermal partition function in black-hole AdS background.

Provided a perturbative quantization approach in curved spacetime.

Abstract

In this letter we propose a new ansatz for the thermal string in the TFD formulation. From it, we derive the thermal vacuum for the closed bosonic string and calculate the thermal partition function in the blackhole $AdS$ background in the first order of the perturbative quantization.