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

Brian R. Greene·Koenraad Schalm·Gary Shiu
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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.

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Brian R. Greene, Koenraad Schalm, Gary Shiu. 2003-11-21. On the Hagedorn Behaviour of PP-wave Strings and N=4 SYM Theory at Finite R-Charge Density. https://doi.org/10.1016/s0550-3213(02)01071-4

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