On bosonization of 2d conformal field theories
High Energy Physics - Theory
2011-04-20 v2
Abstract
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 Wess-Zumino -Witten model. They are, in fact, the simplest non-trivial modules in a full set of bosonized highest weight representations of 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.
Keywords
Cite
@article{arxiv.hep-th/9403081,
title = {On bosonization of 2d conformal field theories},
author = {Oleg Andreev and Boris Feigin},
journal= {arXiv preprint arXiv:hep-th/9403081},
year = {2011}
}
Comments
29 pages, 13 figures, LaTex, HUB-IEP-94/3 (new references are addded)