arXiv subjects

S. A. Apikyan

Publications and source records attributed to S. A. Apikyan.

6 recordsLinked to original sources

arXiv2001

Remarks on A_2 Toda Field Theory

We study the Toda field theory with finite Lie algebras using an extension of the Goulian-Li technique. In this way, we show that, after integrating over the zero mode in the correlation functions of the exponential fields, the resulting correlation function resembles that of a free theory. Furthermore, it is shown that for some ratios of the charges of the exponential fields the four-point correlation functions which contain a degenerate field satisfy the Riemann ordinary differential equation. Using this fact and the crossing symmetry, we derive a set of functional equations for the structure constants of the A_2 Toda field theory.

hep-th↗

arXiv1998

The Conformal Properties of Liouville Field Theory on Z_N-Riemann Surfaces

The Liouville field theory on Z_N-Riemann surfaces is studied and it is shown that it decomposes into a Liouville field theory on the sphere and N-1 free boson theories. Also, the partition function of the Liouville field theory on the Z_N-Riemann surfaces is expressed as a product of the correlation function for the Liouville vertex operators on the sphere and a number of twisted fields.

hep-th↗

arXiv1998

Superconformal Field Theory with Boundary:Spin Model

GSO projected Superconformal field theory (Spin Model) with boundary is considered. There were written the boundary states. For this model were derived one-point structure constants and "bootstrap" equations for boundary-bulk structure constants.

hep-th↗

arXiv1998

Superconformal Field Theory with Boundary: Fermionic Model

Fermionic model of Superconformal field theory with boundary is considered. There were written the ''boundary'' Ward Identity for this theory and also constructed boundary states for fermionic and spin models. For this model were derived ''bootstrap'' equations for boundary structure constants.

hep-th↗

arXiv1996

Liouville Field Theory on Hyperelliptic surface

Liouville field theory on hyperelliptic surface is considered. The partition function of the Liouville field theory on the hyperelliptic surface are expressed as a correlation function of the Liouville vertex operators on a sphere and the twist fields.

hep-th↗

arXiv1996

Integrable Models of the CFT on Hyper-Elliptic Surfaces

In this letter, we continue the work we started at a previous paper and we propose new series of integrable models in quantum field theory. These models are obtained as perturbed models of the minimal conformal field theories on the hyper-elliptic surfaces by particular relevant operators of the untwisted sector. The quantum group symmetry of the models is also discussed.

solv-int↗