On the Hagedorn Behaviour of PP-wave Strings and N=4 SYM Theory at Finite R-Charge Density

Abstract

We discuss the high temperature behaviour of IIB strings in the maximally symmetric plane wave background, and show that there is a Hagedorn temperature. We discuss the map between strings in the pp-wave background and the dual superconformal field theory in the thermal domain. The Hagedorn bound describes a curve in the R-charge chemical potential versus temperature phase diagram of the dual Yang-Mills theory and the theory manifestly exists on both sides. Using a recent observation of Brower, Lowe, and Tan, we update our earlier calculation to reflect that the pp-wave string exists on both sides of the Hagedorn bound as well.

23 pages, LaTeX, 1 figure; v2 minor corrections and clarifications, references added; v3 nature of the Hagedorn transition updated, version published in NPB

References in corpus (5)

• Operators with large R charge in N=4 Yang-Mills theory
• On lightcone string field theory from Super Yang-Mills and holography
• Exploring de Sitter Space and Holography
• Modular Invariance of Strings on PP-Waves with RR-flux
• Strings in RR Plane Wave Background at Finite Temperature

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• The superstring Hagedorn temperature in a pp-wave background
• The Hagedorn temperature of AdS5/CFT4 via integrability
• Thermodynamic behavior of IIA string theory on a pp-wave
• The Hagedorn temperature of AdS5/CFT4 at finite coupling via the Quantum Spectral Curve
• 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
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• Superstring in a pp-wave background at finite temperature - TFD approach
• Strings on pp-waves and Hadrons in (softly broken) N=1 gauge theories
• Thermal Partition Function of Superstring on Compactified PP-Wave
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• On Horizons and Plane Waves
• 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
• Correspondence Principle for Black Holes in Plane Waves
• On the Hagedorn Temperature in Holographic Confining Gauge Theories
• 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
• On type 0 string theory in solvable RR backgrounds
• On the asymptotic density of states in solvable models of strings
• The Hagedorn temperature in a decoupled sector of AdS/CFT
• On the Hagedorn behavior of the superstring propating in a cosmological time dependent background