The string theory on AdS3 as a marginal deformation of a linear dilaton background

2005/11/30 by Gastón Giribet, Gaston Giribet · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2006.01.007

published as Nucl.Phys.B737:209-235,2006 · 30 pages, no figures. Some minor typos corrected; e.g. minor typo in Eq. (5) and Eq. (23)

openalex publication_date 2006/01/20 · arxiv created 2006/05/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate N-point string scattering amplitudes in AdS₃ space. Based on recent observations on the solutions of KZ and BPZ-type differential equations, we discuss how to describe the string theory in AdS₃ as a marginal deformation of a (flat) linear dilaton background. This representation resembles the called "discrete light-cone Liouville" realization as well as the FZZ dual description in terms of the sine-Liouville field theory. Consequently, the connection and differences between those and this realization are discussed. The free field representation presented here permits to understand the relation between correlators in both Liouville and WZNW theories in a very simple way. Within this framework, we discuss the spectrum and interactions of strings in Lorentzian AdS₃.

Citations

• A relation between the Knizhnik--Zamolodchikov and Belavin--Polyakov--Zamolodchikov systems of partial differential equations
• Strings, Black Holes and Conformal Field Theory

Cited by

• Fundamental superstrings as holograms
• Conformal field theories from deformations of theories withWnsymmetry
• Disk one-point function for a family of non-rational conformal theories
• Note on Z2 symmetries of the Knizhnik-Zamolodchikov equation