Thermal magnetized D-branes on \mathbb {R}^{1,p}\times {\mathbb {T}}^{d-p-1} in the generalized thermo-field dynamics approach

DOI10.1088/1751-8113/44/23/235403zbMATH Open1219.81217arXiv1011.0574OpenAlexW363526622MaRDI QIDQ3012873

Author name not available (Why is that?)

Publication date: 7 July 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: We construct the D-brane states at finite temperature in thermal equilibrium in the $mathbb{R}^{1,p}imes{mathbbT}^{d-p-1}$ 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 $mathbb{R}^{1,p}imes{mathbbT}^{d-p-1}$ 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.

Full work available at URL: https://arxiv.org/abs/1011.0574

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Thermal quantum field theory (81T28)

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