Thermodynamic behavior of IIA string theory on a pp-wave

Abstract

We obtain the thermal one loop free energy and the Hagedorn temperature of IIA superstring theory on the pp-wave geometry which comes from the circle compactification of the maximally supersymmetric eleven dimensional one. We use both operator and path integral methods and find the complete agreement between them in the free energy expression. In particular, the free energy in the $\mu \to \infty$ limit is shown to be identical with that of IIB string theory on maximally supersymmetric pp-wave, which indicates the universal thermal behavior of strings in the large class of pp-wave backgrounds. We show that the zero point energy and the modular properties of the free energy are naturally incorporated into the path integral formalism.

25 pages, Latex, JHEP style, v4: revised for clarity without change in main contents, version to appear in JHEP

References in corpus (3)

• The superstring Hagedorn temperature in a pp-wave background
• Hagedorn transition for strings on pp-waves and tori with chemical potentials
• Thermal Partition Function of Superstring on Compactified PP-Wave

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• Semiclassical Quantization of the Superstring and Hagedorn Temperature
• PP-Wave Light-Cone Free String Field Theory at Finite Temperature
• Partition Function and Open/Closed String Duality in Type IIA String Theory on a PP-wave
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• Correspondence Principle for Black Holes in Plane Waves
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• Smearing Effect in Plane-Wave Matrix Model
• Nonequilibrium dynamics of strings in time-dependent plane wave backgrounds
• On the asymptotic density of states in solvable models of strings
• The Hagedorn temperature in a decoupled sector of AdS/CFT
• Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model