Artículo
Giribet, G.; Nakayama, Y.; NicolÁs, L. "Langlands duality in liouville-H3 + WZNW correspondence" (2009) International Journal of Modern Physics A. 24(16-17):3137-3170
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Abstract:
We show a physical realization of the Langlands duality in correlation functions of H+ 3 WZNW model. We derive a dual version of the StoyanovkyRiabultTeschner (SRT) formula that relates the correlation function of the H+ 3 WZNW and the dual Liouville theory to investigate the level duality k - 2 → (k - 2)-1 in the WZNW correlation functions. Then, we show that such a dual version of the $H-3+$-Liouville relation can be interpreted as a particular case of a biparametric family of nonrational conformal field theories (CFT's) based on the Liouville correlation functions, which was recently proposed by Ribault. We study symmetries of these new nonrational CFT's and compute correlation functions explicitly by using the free field realization to see how a generalized Langlands duality manifests itself in this framework. Finally, we suggest an interpretation of the SRT formula as realizing the DrinfeldSokolov Hamiltonian reduction. Again, the Hamiltonian reduction reveals the Langlands duality in the H+ 3 WZNW model. Our new identity for the correlation functions of H+ 3 WZNW model may yield a first step to understand quantum geometric Langlands correspondence yet to be formulated mathematically. © 2009 World Scientific Publishing Company.
Registro:
| Documento: | Artículo |
| Título: | Langlands duality in liouville-H3 + WZNW correspondence |
| Autor: | Giribet, G.; Nakayama, Y.; NicolÁs, L. |
| Filiación: | Department of Physics, Universidad de Buenos Aires and CONICET, Pabellón I, 1428, Buenos Aires, Argentina Berkeley Center for Theoretical Physics, Department of Physics, University of California, Berkeley, CA 94720-7300, United States Instituto de Astronomía y Física del Espacio, CONICET, Ciudad Universitaria, C.C. 67 Suc. 28, 1428, Buenos Aires, Argentina |
| Palabras clave: | Area theorem; Conformal field theory; Duality symmetries; Higher curvature black holes; Negative temperature |
| Año: | 2009 |
| Volumen: | 24 |
| Número: | 16-17 |
| Página de inicio: | 3137 |
| Página de fin: | 3170 |
| Título revista: | International Journal of Modern Physics A |
| Título revista abreviado: | Int. J. Mod. Phys. A |
| ISSN: | 0217751X |
| CODEN: | IMPAE |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v24_n16-17_p3137_Giribet |
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Citas:
---------- APA ----------
Giribet, G., Nakayama, Y. & NicolÁs, L. (2009) . Langlands duality in liouville-H3 + WZNW correspondence. International Journal of Modern Physics A, 24(16-17), 3137-3170.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v24_n16-17_p3137_Giribet [ ]
---------- CHICAGO ----------
Giribet, G., Nakayama, Y., NicolÁs, L. "Langlands duality in liouville-H3 + WZNW correspondence" . International Journal of Modern Physics A 24, no. 16-17 (2009) : 3137-3170.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v24_n16-17_p3137_Giribet [ ]
---------- MLA ----------
Giribet, G., Nakayama, Y., NicolÁs, L. "Langlands duality in liouville-H3 + WZNW correspondence" . International Journal of Modern Physics A, vol. 24, no. 16-17, 2009, pp. 3137-3170.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v24_n16-17_p3137_Giribet [ ]
---------- VANCOUVER ----------
Giribet, G., Nakayama, Y., NicolÁs, L. Langlands duality in liouville-H3 + WZNW correspondence. Int. J. Mod. Phys. A. 2009;24(16-17):3137-3170.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v24_n16-17_p3137_Giribet [ ]
