One-loop amplitudes of winding strings in AdS${}_3$ and the Coulomb gas approach

Abstract

We discuss a Coulomb gas realization of $n$-point correlation functions in the $SL(2,\mathbb{R})$ Wess-Zumino-Witten (WZW) model that is suitable to compute scattering amplitudes of winding strings in 3-dimensional Anti-de Sitter space at tree-level and one-loop. This is a refined version of previously proposed free-field realizations that, among other features, accomplishes to make the $H_3^{+}$ WZW-Liouville correspondence manifest.

28 pages. Typos corrected

References in corpus (2)

• H^+_3 WZNW model from Liouville field theory
• Comments On String Theory

Cited by in corpus (6)

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• Stringy horizons and generalized FZZ duality in perturbation theory
• Scattering of low lying states in the black hole atmosphere
• String correlators on ${\text{AdS}}_3$: Four-point functions
• The $Ad{S}_3\times S^1$ Chiral Ring