Mathematica 9 is now available

Wolfram Library Archive


Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title

W3 Constructions on Affine Lie Algebras
Authors

A. Deckmyn
S. Schrans
Journal / Anthology

Physics Letters B
Year: 1992
Volume: 274
Page range: 186-190
Description

We use an argument of Romans showing that every Virasoro construction leads to realizations of W3, to construct W3 realizations on arbitrary affine Lie algebras. Solutions are presented for generic values of the level as well as for specific values of the level but with arbitrary parameters. We give a detailed discussion of the su(2)l -case. Finally, we discuss possible applications of these realizations to the construction of W-strings.
Subjects

*Mathematics > Algebra > Group Theory
*Science > Physics > Quantum Physics