Thermal Partition Function of Superstring on Compactified PP-Wave

Abstract

We study the thermal partition function of superstring on the pp-wave background with the circle compactification along a transverse direction. We calculate it in the two ways: the operator formalism and the path-integral calculation. The former gives the finite result with no subtlety of the Wick rotation, which only contains the contributions of physical states. On the other hand, the latter yields the manifestly modular invariant expression, even though we only have the winding modes along the transverse circle (no Kaluza-Klein excitations). We also check the equivalence of these two analyses. The DLCQ approach makes the path-integration quite easy. Remarkably, we find that the contributions from the transverse winding sectors disappear in the non-DLCQ limit, while they indeed contribute in the DLCQ model, depending non-trivially on the longitudinal quantum numbers.

21 pages, no figure; v2 typos corrected

References in corpus (6)

• Proving the PP-Wave/CFT_2 Duality
• The D-instanton and other supersymmetric D-branes in IIB plane-wave string theory
• Thermal Amplitudes in DLCQ Superstrings on PP-Waves
• One Loop Partition Function in Plane Waves R-R Background
• String Theory on Dp-plane waves
• Tadpole Analysis of Orientifolded Plane-Waves

Cited by in corpus (15)

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• Fuzzy Spheres in pp Wave Matrix String Theory
• Thermodynamic behavior of IIA string theory on a pp-wave
• Magnetic Heisenberg-chain/pp-wave correspondence
• Hadronic Density of States from String Theory
• Partition Function and Open/Closed String Duality in Type IIA String Theory on a PP-wave
• Correspondence Principle for Black Holes in Plane Waves
• Thermal D-brane boundary states from type IIB Green-Schwarz superstring in pp-wave background
• Nonequilibrium dynamics of strings in time-dependent plane wave backgrounds
• A note on the universality of the Hagedorn behavior of pp-wave strings
• The Hagedorn temperature in a decoupled sector of AdS/CFT
• Strings in a PP-wave background compactified on T^8 with twisted S^1