BOSONIZED WAKIMOTO CONSTRUCTION IN THE PRINCIPAL GRADATION

Authors
Citation
Ah. Bougourzi, BOSONIZED WAKIMOTO CONSTRUCTION IN THE PRINCIPAL GRADATION, letters in mathematical physics, 39(3), 1997, pp. 261-267
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
03779017
Volume
39
Issue
3
Year of publication
1997
Pages
261 - 267
Database
ISI
SICI code
0377-9017(1997)39:3<261:BWCITP>2.0.ZU;2-L
Abstract
It is well known that the bosonized version of the Wakimoto constructi on allows the explicit realization of any affine algebra (g) over cap, with arbitrary level k in the homogeneous gradation, in terms of dim( g) free bosonic fields. In this Letter we show, in the case of the sim plest affine algebra <(sl(2))over cap>, that the bosonized Wakimoto re alization can be extended to the principal gradation only when Ic is e qual to the critical level, i.e., -2. In this case, this construction can be achieved in terms of arbitrary number (larger than 1) of free b osonic fields.