dc.creator | Giribet, Gaston Enrique | |
dc.creator | Nakayama, Yu | |
dc.creator | Nicolas, Lorena | |
dc.date.accessioned | 2018-09-26T16:49:51Z | |
dc.date.accessioned | 2018-11-06T12:29:36Z | |
dc.date.available | 2018-09-26T16:49:51Z | |
dc.date.available | 2018-11-06T12:29:36Z | |
dc.date.created | 2018-09-26T16:49:51Z | |
dc.date.issued | 2009-12 | |
dc.identifier | Giribet, Gaston Enrique; Nakayama, Yu; Nicolas, Lorena; Langlands duality in Liouville-H_3^+ WZNW correspondence; World Scientific; International Journal of Modern Physics A; 24; 12-2009; 3137-3170 | |
dc.identifier | 0217-751X | |
dc.identifier | http://hdl.handle.net/11336/60897 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1867262 | |
dc.description.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 Stoyanovky-Riabult-Teschner (SRT) formula that relates the correlation function of the H_3^+ WZNW and the dual Liouville theory to investigate the level duality k-2 o (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 non-rational CFTs based on the Liouville correlation functions, which was recently proposed by Ribault. We study symmetries of these new non-rational CFTs 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 Drinfeld-Sokolov 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. <!--CONTEXT--> | |
dc.language | eng | |
dc.publisher | World Scientific | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | STRING THEORY | |
dc.subject | CFT | |
dc.title | Langlands duality in Liouville-H_3^+ WZNW correspondence | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |