English

Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum

High Energy Physics - Theory 2009-09-17 v3

Abstract

In this paper we study the spectrum of bosonic string theory on AdS_3. We study classical solutions of the SL(2,R) WZW model, including solutions for long strings with non-zero winding number. We show that the model has a symmetry relating string configurations with different winding numbers. We then study the Hilbert space of the WZW model, including all states related by the above symmetry. This leads to a precise description of long strings. We prove a no-ghost theorem for all the representations that are involved and discuss the scattering of the long string.

Keywords

Cite

@article{arxiv.hep-th/0001053,
  title  = {Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum},
  author = {Juan Maldacena and Hirosi Ooguri},
  journal= {arXiv preprint arXiv:hep-th/0001053},
  year   = {2009}
}

Comments

44 pages, 7 figures, LaTeX; minor changes, references added