ON BOSONIZATION OF 2D CONFORMAL FIELD-THEORIES

Citation
O. Andreev et B. Feigin, ON BOSONIZATION OF 2D CONFORMAL FIELD-THEORIES, Nuclear physics. B, 433(3), 1995, pp. 685-711
Citations number
26
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
433
Issue
3
Year of publication
1995
Pages
685 - 711
Database
ISI
SICI code
0550-3213(1995)433:3<685:OBO2CF>2.0.ZU;2-8
Abstract
We show how bosonic (free field) representations for so-called degener ate conformal theories are built by singular vectors in Verma modules. Based on this construction, general expressions of conformal blocks a re proposed. As an example, we describe new modules for the SL(2) Wess -Zumino-Witten model. They are, in fact, the simplest nontrivial modul es in a full set of bosonized highest weight representations of the sl (2), algebra. The Verma and Wakimoto modules appear as boundary module s of this set. Our construction also yields a new kind of bosonization in 2d conformal field theories.