English

Hagedorn transition for strings on pp-waves and tori with chemical potentials

High Energy Physics - Theory 2010-04-05 v2

Abstract

It has been conjectured that string theory in a pp-wave background is dual to a sector of N=4 supersymmetric Yang-Mills theory. We study the Hagedorn transition for free strings in this background. We find that the free energy at the transition point is finite suggesting a confinement/deconfinement transition in the gauge theory. In the limit of vanishing mass parameter the free energy matches that of free strings on an 8-torus with momentum/winding chemical potential. The entropy in the microcanonical ensemble with fixed energy and fixed momentum/winding is computed in each case.

Keywords

Cite

@article{arxiv.hep-th/0211201,
  title  = {Hagedorn transition for strings on pp-waves and tori with chemical potentials},
  author = {Richard C. Brower and David A. Lowe and Chung-I Tan},
  journal= {arXiv preprint arXiv:hep-th/0211201},
  year   = {2010}
}

Comments

15 pages, latex, references added and minor corrections