Ref HAL: in2p3-00178360_v2
Ref Arxiv: 0710.2093
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
Résumé:

We find the boundary action for Euclidean AdS2 D-branes in H3+. This action is consistent with the D-branes' symmetries and with the H3+-Liouville relation for disc correlators. It can be used for performing free-field calculations in the H3+ model with boundaries. We explicitly perform the Coulomb-like integrals which appear in the free-field calculation of the bulk one-point function, and find agreement with previously known conformal bootstrap results.

Commentaires: 10 pages, v2: added a clarification on gluing conditions and symmetries

Ref HAL: in2p3-00186526_v1
Ref Arxiv: 0709.3806
DOI: 10.1088/1126-6708/2007/11/002
WoS: 000252243700002
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
103 Citations
Résumé:

Two-dimensional sl(n) quantum Toda field theory on a sphere is considered. This theory provides an important example of conformal field theory with higher spin symmetry. We derive the three-point correlation functions of the exponential fields if one of the three fields has a special form. In this case it is possible to write down and solve explicitly the differential equation for the four-point correlation function if the fourth field is completely degenerate. We give also expressions for the three-point correlation functions in the cases, when they can be expressed in terms of known functions. The semiclassical and minisuperspace approaches in the conformal Toda field theory are studied and the results coming from these approaches are compared with the proposed analytical expression for the three-point correlation function. We show, that in the framework of semiclassical and minisuperspace approaches general three-point correlation function can be reduced to the finite-dimensional integral.

Commentaires: 54 pages, JHEP style

Ref HAL: hal-00300669_v1
DOI: 10.1007/s11232-008-0039-2
WoS: 000254207700009
Exporter : BibTex | endNote
4 Citations
Résumé:

We compute exact vacuum expectation values of physically relevant scaling fields in the perturbed Zn parafermionic models. Our algebraic method is based on the analysis of vertex operators in the corresponding off critical lattice model. The results coincide with the expressions derived by methods of perturbed CFT.

Commentaires: Abstract Copyright: (c) 2008: Springer Science+Business Media, Inc.

Ref HAL: in2p3-00177087_v1
Ref Arxiv: 0707.1664
DOI: 10.1007/s11232-008-0038-3
WoS: 000254207700008
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
29 Citations
Résumé:

We study n+3-point correlation functions of exponential fields in Liouville field theory with n degenerate and 3 arbitrary fields. An analytical expression for these correlation functions is derived in terms of Coulomb integrals. The application of these results to the minimal Liouville gravity is considered.

Commentaires: Contribution to the proceedings of the International Workshop on Classical and Quantum Integrable Systems, Dubna, Russia, January 22-25, 2007, 18 pages

Ref HAL: hal-00286500_v1
Exporter : BibTex | endNote
Résumé:

On emploie les méthodes de la Théorie Conforme Perturbée et la méthode des facteurs de forme pour calculer les fonctions de corrélation à deux points pour les champs ordre/désordre dans la limite d' échelle pour les modèles de Ising Z_n avec grande précision.

Ref HAL: in2p3-00136594_v1
DOI: 10.1134/S0021364006220012
WoS: 000243971000001
Exporter : BibTex | endNote
11 Citations
Résumé:

The four-point correlation function has been studied in Liouville field theory. If one of the fields is degenerate, such a function is described in terms of Coulomb integrals. Some nontrivial relations for these integrals have been found that can be used to obtain new exact results in conformal field theory. In particular, a four-point correlation function has been calculated in minimal quantum gravity. The result agrees with the results obtained recently by different methods [A. A. Belavin and A. B. Zamolodchikov, JETP Lett. 82, 7 (2005); Theor. Math. Phys. 147, 729 (2006); A. B. Zamolodchikov, Theor. Math. Phys. 142, 183 (2005); I. K. Kostov and V. B. Petkova, Theor. Math. Phys. 146, 108 (2006)].

Ref HAL: in2p3-00115621_v1
Ref Arxiv: hep-th/0601073
DOI: 10.1134/S0021364006040096
WoS: 000238680300009
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
14 Citations
Résumé:

We study the space of scaling fields in the $Z_N$ symmetric models with the factorized scattering and propose simplest algebraic relations between form factors induced by the action of deformed parafermionic currents. The construction gives a new free field representation for form factors of perturbed Virasoro algebra primary fields, which are parafermionic algebra descendants. We find exact vacuum expectation values of physically important fields and study correlation functions of order and disorder fields in the form factor and CFT perturbation approaches.

Commentaires: 2 Figures, jetpl.cls - Pis'ma v ZhETF, vol. 83, iss. 4, pp. 206-212