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

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

2002-08-22

arxiv.org/abs/hep-th/0208163v3

Nucl.Phys.B652:105-126,2003

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, LaTeX, 1 figure; v2 minor corrections and clarifications, references added; v3 nature of the Hagedorn transition upd

Scientific paper

10.1016/S0550-3213(02)01071-4

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.

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