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Abstract:

We study scattering amplitudes in two-dimensional string theory on a black hole bakground. We start with a simple derivation of the Fateev-Zamolodchikov-Zamolodchikov (FZZ) duality, which associates correlation functions of the sine-Liouville integrable model on the Riemann sphere to tree-level string amplitudes on the Euclidean two-dimensional black hole. This derivation of FZZ duality is based on perturbation theory, and it relies on a trick originally due to Fateev, which involves duality relations between different Selberg type integrals. This enables us to rewrite the correlation functions of sine-Liouville theory in terms of a special set of correlators in the gauged Wess-Zumino-Witten (WZW) theory, and use this to perform further consistency checks of the recently conjectured Generalized FZZ (GFZZ) duality. In particular, we prove that n-point correlation functions in sine-Liouville theory involving n − 2 winding modes actually coincide with the correlation functions in the SL(2ℝ)/U(1) gauged WZW model that include n − 2 oscillator operators of the type described by Giveon, Itzhaki and Kutasov in reference [1]. This proves the GFZZ duality for the case of tree level maximally winding violating n-point amplitudes with arbitrary n. We also comment on the connection between GFZZ and other marginal deformations previously considered in the literature. © 2017, The Author(s).

Registro:

Documento: Artículo
Título:Stringy horizons and generalized FZZ duality in perturbation theory
Autor:Giribet, G.
Filiación:Martin Fisher School of Physics, Brandeis University, Waltham, MA 02453, United States
Departamento de Física, Universidad de Buenos Aires FCEN-UBA and IFIBA-CONICET, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Palabras clave:Black Holes in String Theory; Bosonic Strings; Conformal Field Models in String Theory; Tachyon Condensation
Año:2017
Volumen:2017
Número:2
DOI: http://dx.doi.org/10.1007/JHEP02(2017)069
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2017_n2_p_Giribet

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Citas:

---------- APA ----------
(2017) . Stringy horizons and generalized FZZ duality in perturbation theory. Journal of High Energy Physics, 2017(2).
http://dx.doi.org/10.1007/JHEP02(2017)069
---------- CHICAGO ----------
Giribet, G. "Stringy horizons and generalized FZZ duality in perturbation theory" . Journal of High Energy Physics 2017, no. 2 (2017).
http://dx.doi.org/10.1007/JHEP02(2017)069
---------- MLA ----------
Giribet, G. "Stringy horizons and generalized FZZ duality in perturbation theory" . Journal of High Energy Physics, vol. 2017, no. 2, 2017.
http://dx.doi.org/10.1007/JHEP02(2017)069
---------- VANCOUVER ----------
Giribet, G. Stringy horizons and generalized FZZ duality in perturbation theory. J. High Energy Phys. 2017;2017(2).
http://dx.doi.org/10.1007/JHEP02(2017)069