  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.
