A note on the universality of the Hagedorn behavior of pp-wave strings

Abstract

Following on from recent studies of string theory on a one-parameter family of integrable deformations of $Ad{S}_5\times S^5$ proposed by Lunin and Maldacena, we carry out a systematic analysis of the high temperature properties of type IIB strings on the associated pp-wave geometries. In particular, through the computation of the thermal partition function and free energy we find that not only does the theory exhibit a Hagedorn transition in both the $(J,0,0)$ and $(J,J,J)$ class of pp-waves, but that the Hagedorn temperature is insensitive to the deformation suggesting an interesting universality in the high temperature behaviour of the pp-wave string theory. We comment also on the implications of this universality on the confinement/deconfinement transition in the dual $\mathcal{N}=1$ Leigh-Strassler deformation of $\mathcal{N}=4$ Yang-Mills theory.

25 pages; fixed minor typo; added references

References in corpus (8)

• Gluon scattering amplitudes at strong coupling
• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
• Matching the Hagedorn temperature in AdS/CFT
• Integrable twists in AdS/CFT
• Giants On Deformed Backgrounds
• Decoupling limits of N=4 super Yang-Mills on R x S^3
• Giant Gravitons on Deformed pp-waves
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations

Cited by in corpus (4)

• Matching gauge theory and string theory in a decoupling limit of AdS/CFT
• New Penrose Limits and AdS/CFT
• One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations