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Oleg Andreev

Publications and source records attributed to Oleg Andreev.

61 records · Page 4Linked to original sources
arXiv1997

On touching random surfaces, two-dimensional quantum gravity and non-critical string theory

A set of physical operators which are responsible for touching interactions in the framework of c<1 unitary conformal matter coupled to 2D quantum gravity is found. As a special case the non-critical bosonic strings are considered. Some analogies with four dimensional quantum gravity are also discussed, e.g. creation-annihilation operators for baby universes, Coleman mechanism for the cosmological constant.

hep-th↗
arXiv1996

Some chiral rings of N=2 discrete superconformal series induced by SL(2) degenerate conformal field theories

By generalizing a fermionic construction, a natural relation is found between SL(2) degenerate conformal field theories and some N=2 discrete superconformal series. These non-unitary models contain, as a subclass, N=2 minimal models. The construction permits one to investigate the properties of chiral operators in the N=2 models. A chiral ring reveals a close connection with underlying quantum group structures.

hep-th↗
arXiv1996

On 2D gravity coupled to $c\leq 1$ matter in Polyakov light-cone gauge

A new formulation of $c\leq 1$ matter coupled to 2D gravity is proposed. This model, being closely analogous to one in the Polyakov light-cone gauge, possesses well defined global properties which allow to calculate correlation functions. As an example, the three point correlation functions of discrete states are found.

hep-th↗
arXiv1994

Towards complex(rational) powers of free fields, generalized $βγ$ systems and non-polynomial quantum field theory

The $βγ$ system is generalized by complex(rational) powers of the fields, which leads to a corresponding extension on the Fock space. Two different approaches to compute the Green functions of the physical operators are proposed. First the complex(rational) powers are defined via an integral representation,that allows to compute the conformal blocks, Green functions and structure constants of OPA. Next an approach based on a system of recursion equations for the Green functions is developed. A number of solutions of the system is found. A lot of possible applications is briefly discussed.

hep-th↗
arXiv1994

On bosonization of 2d conformal field theories

We show how bosonic (free field) representations for so-called degenerate conformal theories are built by singular vectors in Verma modules. Based on this construction, general expressions of conformal blocks are proposed. As an example we describe new modules for the $SL(2)$ Wess-Zumino -Witten model. They are, in fact, the simplest non-trivial modules in a full set of bosonized highest weight representations of $\hat {sl}_2$ algebra. The Verma and Wakimoto modules appear as boundary modules of this set. Our construction also yields a new kind of bosonization in 2d conformal field theories.

hep-th↗