Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | A twisted FZZ-like dual for the 2D black hole |
Autor: | Giribet, G.; Leoni, M. |
Filiación: | Abdus Salam International Centre for Theoretical Pysics, ICTP Strada Costiera 11, 34014 Trieste, Italy Physics Department, Universidad de Buenos Aires, FCEN - UBA Ciudad Universitaria, pabellón 1, 1428 Buenos Aires, Argentina
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Palabras clave: | 2D black hole; conformal field theory; Liouville theory; non-critical strings |
Año: | 2008
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Volumen: | 61
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Número: | 2
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Página de inicio: | 151
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Página de fin: | 162
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DOI: |
http://dx.doi.org/10.1016/S0034-4877(08)00011-6 |
Título revista: | Reports on Mathematical Physics
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Título revista abreviado: | Rep. Math. Phys.
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ISSN: | 00344877
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CODEN: | RMHPB
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00344877_v61_n2_p151_Giribet |
Referencias:
- N. Seiberg: Emergent spacetime [arXiv:hep-th/0601234]; V. Fateev, A. B. Zamolodchikov and Al. Zamolodchikov, unpublished; Baseilhac, P., Fateev, V., (1998) Nucl. Phys., B 532, p. 567
- Fukuda, T., Hosomichi, K., (2001) JHEP, 109, p. 003
- Kazakov, V., Kostov, I., Kutasov, D., (2002) Nucl. Phys., B622, p. 141
- Eguchi, M., (1993) Phys. Lett., B316, p. 74
- Mukherjee, A., Mukhi, S., Pakman, A., (2007) JHEP, 701, p. 025
- Witten, E., (1991) Phys. Rev. D, 44, p. 314
- Giribet, G., Núñez, C., (2001) JHEP, 106, p. 010
- Becker, K., Becker, M., (1994) Nucl. Phys., B418, p. 206
- 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
- Ribault, S., (2005) JHEP, 509, p. 045
- Giribet, G., (2006) Nucl. Phys., B737, p. 209
- Giribet, G., (2006) Phys. Lett., B637, p. 192
- Nakamura, S., Niarchos, V., (2005) JHEP, 510, p. 025
- Pakman, A., (2006) JHEP, 611, p. 055
- Sahakyan, D., Takayanagi, T., (2006) JHEP, 606, p. 027
- Goulian, M., Li, M., (1991) Phys. Rev. Lett., 66, p. 2051
- Y. Hikida and V. Schomerus: H^+_3 WZNW model from Liouville field theory [arXiv:0706.1030]
Citas:
---------- APA ----------
Giribet, G. & Leoni, M.
(2008)
. A twisted FZZ-like dual for the 2D black hole. Reports on Mathematical Physics, 61(2), 151-162.
http://dx.doi.org/10.1016/S0034-4877(08)00011-6---------- CHICAGO ----------
Giribet, G., Leoni, M.
"A twisted FZZ-like dual for the 2D black hole"
. Reports on Mathematical Physics 61, no. 2
(2008) : 151-162.
http://dx.doi.org/10.1016/S0034-4877(08)00011-6---------- MLA ----------
Giribet, G., Leoni, M.
"A twisted FZZ-like dual for the 2D black hole"
. Reports on Mathematical Physics, vol. 61, no. 2, 2008, pp. 151-162.
http://dx.doi.org/10.1016/S0034-4877(08)00011-6---------- VANCOUVER ----------
Giribet, G., Leoni, M. A twisted FZZ-like dual for the 2D black hole. Rep. Math. Phys. 2008;61(2):151-162.
http://dx.doi.org/10.1016/S0034-4877(08)00011-6