On the SU(1,1) Thermal Group of Bosonic Strings and D-Branes

Abstract

All possible Bogoliubov operators that generate the thermal transformations in the Thermo Field Dynamics (TFD) form a SU(1,1) group. We discuss this contruction in the bosonic string theory. In particular, the transformation of the Fock space and string operators generated by the most general SU(1,1) unitary Bogoliubov transformation and the entropy of the corresponding thermal string are computed. Also, we construct the thermal $D$-brane solution generated by the SU(1,1) transformation in a constant Kalb-Ramond field and compute its entropy.

misprints corrected

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Cited by in corpus (21)

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• D-branes as coherent states in the open string channel
• String Entanglement and D-branes as Pure States
• On the entropy operator for the general SU(1,1) TFD formulation
• General Unitary SU(1,1) TFD Formulation
• PP-Wave Light-Cone Free String Field Theory at Finite Temperature
• Thermal $D$-Brane Boundary States from Green-Schwarz Superstrings
• Entanglement and entropy operator for strings in pp-wave time dependent background
• String in AdS Black Hole: A Thermo Field Dynamic Approach
• Thermal D-brane boundary states from type IIB Green-Schwarz superstring in pp-wave background
• Observer dependent D-brane for strings propagating in pp-wave time dependent background
• TFD Extension of Open String Field Theory
• Nonequilibrium dynamics of strings in time-dependent plane wave backgrounds
• Left/right entanglement and thermalization of time dependent plane wave Green-Schwarz superstring
• Thermal magnetized D-branes on $R^{1,p}\times T^{d-p-1}$ in the generalized Thermo Field Dynamics approach
• First Order Semiclassical Thermal String in the AdS Spacetime
• Entanglement Entropy from TFD Entropy Operator
• Thermal D-branes States from Superstrings in Light-Cone Gauge
• Thermo Field Dynamics of strings with definite boundary conditions
• Bosonic String at Finite Temperature