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

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

2000-01-10

arxiv.org/abs/hep-th/0001053v3

J.Math.Phys.42:2929-2960,2001

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1063/1.1377273

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.

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