caa a22 4500 467910286 CHVBK 20180406152847.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s11232-006-0002-z doi (NATIONALLICENCE)springer-10.1007/s11232-006-0002-z Chekhov L. Steklov Mathematical Institute, RAS, Moscow, Russia aut AdS3/CFT2 on a Torus in the Sum over Geometries [Elektronische Daten] [L. Chekhov] We investigate the AdS3/CFT2 correspondence for the Euclidean AdS3 space compactified on a solid torus with the CFT field on the regularizing boundary surface in the bulk. Correlation functions corresponding to the bulk theory at a finite temperature tend to the standard CFT correlation functions in the limit of removed regularization. In the sum over geometries in both the regular and the ℤ N orbifold cases, the two-point correlation function for massless modes transforms into a finite sum of products of the conformal-anticonformal CFT Green's functions up to divergent terms proportional to the volume of the SL(2, ℤ)/ℤ group. Springer Science+Business Media, Inc., 2006 hyperbolic spaces nationallicence Green's function nationallicence orbifolds nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/1(2006-01-01), 13-24 0040-5779 146:1<13 2006 146 11232 https://doi.org/10.1007/s11232-006-0002-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0002-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chekhov L. Steklov Mathematical Institute, RAS, Moscow, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/1(2006-01-01), 13-24 0040-5779 146:1<13 2006 146 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer