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Abstract:

We study the connection between Zamolodchikov operator-valued relations in Liouville field theory and in the SL(2, ℝ)k WZNW model. In particular, the classical relations in SL(2, ℝ)k can be formulated as a classical Liouville hierarchy in terms of the isotopic coordinates, and their covariance is easily understood in the framework of the AdS3/ CFT2 correspondence. Conversely, we find a closed expression for the classical Liouville decoupling operators in terms of the so-called uniformizing Schwarzian operators and show that the associated uniformizing parameter plays the same role as the isotopic coordinates in SL(2, ℝ)k. The solutions of the jth classical decoupling equation in the WZNW model span a spin j reducible representation of SL(2, ℝ). Likewise, we show that in Liouville theory solutions of the classical decoupling equations span spin j representations of SL(2, ℝ), which is interpreted as the isometry group of the hyperbolic upper half-plane. © 2005 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Zamolodchikov relations and Liouville hierarchy in SL(2, R)k WZNW model
Autor:Bertoldi, G.; Bolognesi, S.; Giribet, G.; Matone, M.; Nakayama, Y.
Filiación:Department of Physics, University of Wales Swansea, Swansea SA2 8PP, United Kingdom
Scuola Normale Superiore, Piazza Dei Cavalieri 7, 56126 Pisa, Italy
INFN, Sezione di Pisa, Pisa, Italy
Universidad de Buenos Aires, Ciudad Universitaria 1428, Pabellon I, Buenos Aires, Argentina
Dipartimento di Fisica G. Galilei, Università di Padova, Via Marzolo 8, 35131 Padova, Italy
INFN, Sezione di Padova, Padova, Italy
Department of Physics, Faculty of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan
Año:2005
Volumen:709
Número:3
Página de inicio:522
Página de fin:549
DOI: http://dx.doi.org/10.1016/j.nuclphysb.2005.01.001
Título revista:Nuclear Physics B
Título revista abreviado:Nucl. Phys. B
ISSN:05503213
CODEN:NUPBB
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05503213_v709_n3_p522_Bertoldi

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Citas:

---------- APA ----------
Bertoldi, G., Bolognesi, S., Giribet, G., Matone, M. & Nakayama, Y. (2005) . Zamolodchikov relations and Liouville hierarchy in SL(2, R)k WZNW model. Nuclear Physics B, 709(3), 522-549.
http://dx.doi.org/10.1016/j.nuclphysb.2005.01.001
---------- CHICAGO ----------
Bertoldi, G., Bolognesi, S., Giribet, G., Matone, M., Nakayama, Y. "Zamolodchikov relations and Liouville hierarchy in SL(2, R)k WZNW model" . Nuclear Physics B 709, no. 3 (2005) : 522-549.
http://dx.doi.org/10.1016/j.nuclphysb.2005.01.001
---------- MLA ----------
Bertoldi, G., Bolognesi, S., Giribet, G., Matone, M., Nakayama, Y. "Zamolodchikov relations and Liouville hierarchy in SL(2, R)k WZNW model" . Nuclear Physics B, vol. 709, no. 3, 2005, pp. 522-549.
http://dx.doi.org/10.1016/j.nuclphysb.2005.01.001
---------- VANCOUVER ----------
Bertoldi, G., Bolognesi, S., Giribet, G., Matone, M., Nakayama, Y. Zamolodchikov relations and Liouville hierarchy in SL(2, R)k WZNW model. Nucl. Phys. B. 2005;709(3):522-549.
http://dx.doi.org/10.1016/j.nuclphysb.2005.01.001