Thermal D-brane boundary states from type IIB Green-Schwarz superstring in pp-wave background

TL;DR

This paper constructs thermal boundary states for the type IIB superstring in a pp-wave background using the TFD formalism, and computes the entropy of these states, extending flat spacetime results to curved backgrounds.

Contribution

It introduces a method to thermalize boundary states in a pp-wave background within the Green-Schwarz formalism, including entropy calculation, which is novel compared to flat spacetime analyses.

Findings

Thermal boundary states are successfully constructed in pp-wave background.

The entropy of thermal boundary states is explicitly calculated.

The approach extends flat spacetime boundary state techniques to curved backgrounds.

Abstract

We construct the thermal boundary states from the type IIB Green-Schwarz superstring in {\em pp}-wave background in the light-cone gauge. The superstring is treated in the canonical ensemble and in the TFD formalism which is appropriate to discuss quantum systems in the canonical quantization. The thermal boundary states are obtained by thermalizing the total boundary states which are the boundary states of the total system that is composed by the superstring modes and the corresponding thermal reservoir modes. That analysis is similar to the one in the flat spacetime case \cite{ivv12}. However, there are some subtleties concerning the construction of the total string which are discussed. Next, we compute the entropy of thermal boundary state which is defined as the expectation value of the superstring entropy operator in the thermal boundary state.