A twisted FZZ-like dual for the 2D black hole

We study the duality between string theory formulated on a curved exact background (the two-dimensional black hole) and string theory in flat space with a tachyon-like potential. We generalize previous results on this subject by discussing a twisted version of the Fateev-Zamolodchikov-Zamolodchikov...

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Autor principal: Giribet, G.
Otros Autores: Leoni, M.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2008
Acceso en línea:Registro en Scopus
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100 1 |a Giribet, G. 
245 1 2 |a A twisted FZZ-like dual for the 2D black hole 
260 |c 2008 
270 1 0 |m Giribet, G.; Abdus Salam International Centre for Theoretical Pysics, ICTP Strada Costiera 11, 34014 Trieste, Italy; email: gaston@df.uba.ar 
506 |2 openaire  |e Política editorial 
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504 |a Fukuda, T., Hosomichi, K., (2001) JHEP, 109, p. 003 
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504 |a V. Fateev: Relation between Sine-Liouville and Liouville correlation functions, unpublished; A. Stoyanovsky: A relation between the Knizhnik- Zamolodchikov and Belavin-Polyakov-Zamolodchikov systems of partial differential equations, [arXiv:math-ph/0012013]; Ribault, S., Teschner, J., (2005) JHEP, 506, p. 014 
504 |a Ribault, S., (2005) JHEP, 509, p. 045 
504 |a Giribet, G., (2006) Nucl. Phys., B737, p. 209 
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504 |a Y. Hikida and V. Schomerus: H 
520 3 |a We study the duality between string theory formulated on a curved exact background (the two-dimensional black hole) and string theory in flat space with a tachyon-like potential. We generalize previous results on this subject by discussing a twisted version of the Fateev-Zamolodchikov-Zamolodchikov conjecture (FZZ). This duality is shown to hold at the level of N-point correlation functions on the sphere topology, and connects tree-level string amplitudes in the Euclidean version of the 2D black hole to correlation functions in a nonlinear sigma-model in flat space but in presence of a tachyon wall potential and a linear dilaton. The dual CFT we propose here corresponds to the perturbed 2D quantum gravity coupled to c < 1 matter, where the operator that describes the tachyon-like potential can be seen as an n = 2 momentum mode perturbation, while the usual sine-Liouville potential involved in the FZZ duality would correspond to the vortex sector n = 1. We give a precise prescription for computing correlation functions in the twisted model. © 2008 Polish Scientific Publishers PWN, Warszawa.  |l eng 
536 |a Detalles de la financiación: Universidad de Buenos Aires 
536 |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas, PICT 34557, PIP6160, UBACyT X861 
536 |a Detalles de la financiación: The authors thank the organizers of the Colloquium ISQS 16, held in Prague, for the invitation and the hospitality. The partial support of Universidad de Buenos Aires, Agencia ANPCyT and CONICET through grants UBACyT X861, PICT 34557, PIP6160 is also acknowledged. Gaston Giribet specially thanks the members of the Center for Cosmology and Particle Physics of the New York University. 
593 |a Abdus Salam International Centre for Theoretical Pysics, ICTP Strada Costiera 11, 34014 Trieste, Italy 
593 |a Physics Department, Universidad de Buenos Aires, FCEN - UBA Ciudad Universitaria, pabellón 1, 1428 Buenos Aires, Argentina 
690 1 0 |a 2D BLACK HOLE 
690 1 0 |a CONFORMAL FIELD THEORY 
690 1 0 |a LIOUVILLE THEORY 
690 1 0 |a NON-CRITICAL STRINGS 
700 1 |a Leoni, M. 
773 0 |d 2008  |g v. 61  |h pp. 151-162  |k n. 2  |p Rep. Math. Phys.  |x 00344877  |t Reports on Mathematical Physics 
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856 4 0 |u https://doi.org/10.1016/S0034-4877(08)00011-6  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_00344877_v61_n2_p151_Giribet  |y Handle 
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