Covariant sl sub 2 decomposition of the sl sub n Drinfeld-Sokolov equations and the W sub n algebras

Journal Article · Thu Mar 19 23:00:00 EST 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92000661· OSTI ID:5548851

Bonora, L; Xiong, C S ^[1]

---

1. International School for Advanced Studies, Strada Costiera 11, 34014 Trieste (IT)

In this paper the authors analyze sl{sub 2} content and covariance in sl{sub n} W algebras. To achieve this we first work out the formulas for the sl{sub 2} case; then we examine different gauges in the sl{sub n} case. Next, the authors propose a decomposition of the covariant differential operator D{sup (n +1)}, which appear in the Drinfeld-Sokolov equation in terms of conformal tensors and sl{sub 2}-covariant differential operators. As an example the authors write down the complete classical W{sub 4} algebra and show that the above decomposition extends to all the Poisson brackets of this algebra.

• OSTI ID: 5548851
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:7; ISSN IMPAE; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD ALGEBRA
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
TENSORS