The Stoyanovsky-Ribault-Teschner map and string scattering amplitudes

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Recently, Ribault and Teschner pointed out the existence of a one-to-one correspondence between N-point correlation functions for the SL(2, ℂ) k/SU(2) WZNW model on the sphere and certain set of 2N - 2-point correlation functions in Liouville field theory. This result is based on a seminal work by S...

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Autor principal: Giribet, G.
Otros Autores: Nakayama, Y.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2006
Acceso en línea:Registro en Scopus
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100 1 |a Giribet, G. 
245 1 4 |a The Stoyanovsky-Ribault-Teschner map and string scattering amplitudes 
260 |c 2006 
270 1 0 |m Giribet, G.; Department of Physics, Universidad de Buenos Aires, Pabellon 1, 1428. Buenos Aires, Argentina; email: gaston@df.uba.ar 
506 |2 openaire  |e Política editorial 
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520 3 |a Recently, Ribault and Teschner pointed out the existence of a one-to-one correspondence between N-point correlation functions for the SL(2, ℂ) k/SU(2) WZNW model on the sphere and certain set of 2N - 2-point correlation functions in Liouville field theory. This result is based on a seminal work by Stoyanovsky. Here, we discuss the implications of this correspondence focusing on its application to string theory on curved backgrounds. For instance, we analyze how the divergences corresponding to worldsheet instantons in AdS3 can be understood as arising from the insertion of the dual screening operator in the Liouville theory side. We also study the pole structure of N-point functions in the 2D Euclidean black hole and its holographic meaning in terms of the Little String Theory. This enables us to interpret the correspondence between CFT's as encoding a LSZ-type reduction procedure. Furthermore, we discuss the scattering amplitudes violating the winding number conservation in those backgrounds and provide a formula connecting such amplitudes with observables in Liouville field theory. Finally, we study the WZNW correlation functions in the limit k → 0 and show that, at the point k = 0, the Stoyanovsky-Ribault-Teschner dictionary turns out to be in agreement with the FZZ conjecture at a particular point of the space of parameters where the Liouville central charge becomes cL = -2. This result makes contact with recent studies on the dynamical tachyon condensation in closed string theory. © World Scientific Publishing Company.  |l eng 
593 |a Department of Physics, Universidad de Buenos Aires, Pabellon 1, 1428. Buenos Aires, Argentina 
593 |a Department of Physics, Universidad de La Plata, IFLP, C.C. 67, 1900, La Plata, Argentina 
593 |a Department of Physics, Faculty of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan 
690 1 0 |a 2D BLACK HOLE 
690 1 0 |a CONFORMAL FIELD THEORY 
690 1 0 |a STRING THEORY ON ADS 
700 1 |a Nakayama, Y. 
773 0 |d 2006  |g v. 21  |h pp. 4003-4034  |k n. 19-20  |p Int. J. Mod. Phys. A  |x 0217751X  |w (AR-BaUEN)CENRE-596  |t International Journal of Modern Physics A 
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