Strings in AdS(3) and SL(2,R) WZW model 1.: The Spectrum
Jan, 200042 pages
Published in:
- J.Math.Phys. 42 (2001) 2929-2960
e-Print:
- hep-th/0001053 [hep-th]
DOI:
Report number:
- CALT-68-2245,
- CITUSC-99-010,
- HUTP-99-A027,
- LBNL-44375,
- UCB-PTH-99-48,
- LBL-44375
Citations per year
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.- string model: boson
- space-time: anti-de Sitter
- dimension: 3
- Wess-Zumino-Witten model: SL(2,R)
- phase space: Hilbert space
- approximation: semiclassical
- current algebra
- ghost
- scattering amplitude
- operator: vertex
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