On zero-point energy, stability and Hagedorn behavior of Type IIB strings on pp-waves

Abstract

Type IIB strings on many pp-wave backgrounds, supported either by 5-form or 3-form fluxes, have negative light-cone zero-point energy. This raises the question of their stability and poses possible problems in the definition of their thermodynamic properties. After having pointed out the correct way of calculating the zero-point energy, an issue not fully discussed in literature, we show that these Type IIB strings are classically stable and have well defined thermal properties, exhibiting a Hagedorn behavior.

Latex, 13 pages. v2: regularization/renormalization prescription clarified, refs. added

References in corpus (3)

• A Soluble String Theory of Hadrons
• The superstring Hagedorn temperature in a pp-wave background
• Hagedorn transition for strings on pp-waves and tori with chemical potentials

Cited by in corpus (24)

• Stringy sums and corrections to the quantum string Bethe ansatz
• Wilson Loop, Regge Trajectory and Hadron Masses in a Yang-Mills Theory from Semiclassical Strings
• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
• Matching the Hagedorn temperature in AdS/CFT
• Semiclassical spinning strings and confining gauge theories
• Strings at Finite Temperature: Wilson Lines, Free Energies, and the Thermal Landscape
• Magnetic Heisenberg-chain/pp-wave correspondence
• On the Universality Class of Certain String Theory Hadrons
• Strings on pp-waves and Hadrons in (softly broken) N=1 gauge theories
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• DLCQ String Spectrum from $\mathcal{N}=2$ SYM Theory
• On the Hagedorn Behaviour of Singular Scale-Invariant Plane Waves
• PP-Wave Light-Cone Free String Field Theory at Finite Temperature
• Semiclassical strings on confining backgrounds
• M-theory on a Time-dependent Plane-wave
• On the Hagedorn Temperature in Holographic Confining Gauge Theories
• Correspondence Principle for Black Holes in Plane Waves
• Nonequilibrium dynamics of strings in time-dependent plane wave backgrounds
• On type 0 string theory in solvable RR backgrounds
• A note on the universality of the Hagedorn behavior of pp-wave strings
• PP-waves and softly broken N=1 SYM
• On the asymptotic density of states in solvable models of strings
• The Hagedorn temperature in a decoupled sector of AdS/CFT
• A note on D-brane Interactions in the IIA Plane-Wave Background