Open String Thermodynamics and D-Branes

Abstract

We study the thermodynamics of open superstrings in the presence of $p$-dimensional D-branes. We get some finite temperature dualities relating the one-loop canonical free energy of open strings to the self-energy of D-branes at dual temperature. For the open bosonic string the inverse dual temperature is, as expected, the dual length under T-duality, $4{\pi }^2{\alpha }^{{}^{\prime }}/\beta$. On the contrary, for the $SO(N)$, type-I superstring the dual temperature is given by $\beta$-duality, $2{\pi }^2{\alpha }^{{}^{\prime }}/\beta$. We also study the emergence of the Hagedorn singularity in the dual description as triggered by the coupling of the D-brane to unphysical tachyons as well as the high temperature limit.

16 pages, harvmac (b), epsf, 2 figures included. Minor changes; discussion in section 4 has been expanded and two footnotes and a reference added

References in corpus (2)

• Dirichlet-Branes and Ramond-Ramond Charges
• String Theory Dynamics In Various Dimensions

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