Thermal magnetized D-branes on $R^{1,p}\times T^{d-p-1}$ in the generalized Thermo Field Dynamics approach

Abstract

We construct the D-brane states at finite temperature in thermal equilibrium in the ${\mathbb{R}}^{1,p}\times {\mathbb{T}}^{d-p-1}$ spacetime in the presence of cold (unthermalized) Kalb-Ramond (KR) and U(1) gauge potential background. To this end, we first generalize the Thermo Field Dynamics (TFD) to wrapped closed strings. This generalization is consistent with the spatial translation invariance on the string world-sheet. Next, we determine the thermal string vacuum and define the entropy operator. From these data we calculate the entropy of the closed string and the free energy. Finally, we define the thermal D-brane states in ${\mathbb{R}}^{1,p}\times {\mathbb{T}}^{d-p-1}$ in the presence of cold constant KR field and U(1) gauge potential as the boundary states of the thermal closed string and compute their entropy.

Minor error and misprints corrected. 22 pages

References in corpus (11)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Instanton effects in N=1 brane models and the Kahler metric of twisted matter
• Kaehler Metrics and Yukawa Couplings in Magnetized Brane Models
• New twist field couplings from the partition function for multiply wrapped D-branes
• Wrapped Magnetized Branes: Two Alternative Descriptions?
• D-branes as coherent states in the open string channel
• String Entanglement and D-branes as Pure States
• Supersymmetric SU(5) GUT with Stabilized Moduli
• Thermal $D$-Brane Boundary States from Green-Schwarz Superstrings
• Thermal D-brane boundary states from type IIB Green-Schwarz superstring in pp-wave background
• Kaehler Metrics: String vs Field Theoretical Approach

Cited by in corpus (1)

• Thermodynamics and Tachyon Condensation of the Dressed-Dynamical Unstable D$p$-branes