The superstring Hagedorn temperature in a pp-wave background

Abstract

The thermodynamics of type IIB superstring theory in the maximally supersymmetric plane wave background is studied. We compute the thermodynamic partition function for non-interacting strings exactly and the result differs slightly from previous computations. We clarify some of the issues related to the Hagedorn temperature in the limits of small and large constant RR 5-form. We study the thermodynamic behavior of strings in the case of $Ad{S}_3\times S^3\times T^4$ geometries in the presence of NS-NS and RR 3-form backgrounds. We also comment on the relationship of string thermodynamics and the thermodynamic behavior of the sector of Yang-Mills theory which is the holographic dual of the string theory.

22 pages, JHEP style, minor misprints corrected, some comments added

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Cited by in corpus (26)

• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
• Matching the Hagedorn temperature in AdS/CFT
• Hagedorn vs. Hawking-Page transition in string theory
• Five-Brane Thermodynamics from the Matrix Model
• Fuzzy Spheres in pp Wave Matrix String Theory
• Thermodynamic behavior of IIA string theory on a pp-wave
• The Hagedorn temperature of AdS5/CFT4 via integrability
• The Hagedorn temperature of AdS5/CFT4 at finite coupling via the Quantum Spectral Curve
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• On zero-point energy, stability and Hagedorn behavior of Type IIB strings on pp-waves
• Strings at Finite Temperature: Wilson Lines, Free Energies, and the Thermal Landscape
• Superstring in a pp-wave background at finite temperature - TFD approach
• Magnetic Heisenberg-chain/pp-wave correspondence
• Hadronic Density of States from String Theory
• DLCQ String Spectrum from $\mathcal{N}=2$ SYM Theory
• On the Hagedorn Behaviour of Singular Scale-Invariant Plane Waves
• Matrix Model Thermodynamics
• PP-Wave Light-Cone Free String Field Theory at Finite Temperature
• Refined Counting of Necklaces in One-loop $\mathcal{N}=4$ SYM
• Correspondence Principle for Black Holes in Plane Waves
• Nonequilibrium dynamics of strings in time-dependent plane wave backgrounds
• A note on the universality of the Hagedorn behavior of pp-wave strings
• On type 0 string theory in solvable RR backgrounds
• Re-Identifying the Hagedorn Transition
• On the asymptotic density of states in solvable models of strings
• The Hagedorn temperature in a decoupled sector of AdS/CFT