TFD Extension of Open String Field Theory

Abstract

We study the application of the rules of Thermo Field Dynamics (TFD) to the covariant formulation of Open String Field Theory (OSFT). We extend the states space and fields according to the duplication rules of TFD and construct the corresponding classical action. The result is interpreted as a theory whose fields would encode the statistical information of open strings. The physical spectrum of the free theory is studied through the cohomology of the extended BRST charge, and, as a result, we get new fields in the spectrum emerging by virtue of the quantum entanglement and, noticeably, it presents degrees of freedom that could be identified as those of closed strings. We also show, however, that their appearing in the action is directly related to the choice of the inner product in the extended algebra, so that different sectors of fields could be eliminated from the theory by choosing that product conveniently. Finally, we study the extension of the three-vertex interaction and provide a simple prescription for it whose results at tree-level agree with those of the conventional theory.

25 pages, no figures. File format, typos, Abstract and references modified. New subsection and concluding comments were added. To appear in Phys. Rev. D

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Cited by in corpus (5)

• Connections between reflected entropies and hyperbolic string vertices
• Conformal to Harmonic Gauge for Bosonic Strings
• Brane-Antibrane at Finite Temperature in the Framework of Thermo Field Dynamics
• Thermodynamics and Tachyon Condensation of the Dressed-Dynamical Unstable D$p$-branes
• Thermo Field Dynamics of strings with definite boundary conditions