W-realization of Lie algebras: application to so(4,2) and Poincare algebras

Details W-realization of Lie algebras: application to so(4,2) and Poincare algebras W-realization of Lie algebras: application to so(4,2) and Poincare algebras

1996-06-04

arxiv.org/abs/hep-th/9606014v1

Commun.Math.Phys. 186 (1997) 393-412

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 18 pages

Scientific paper

10.1007/s002200050114

The property of some finite W-algebras to appear as the commutant of a particular subalgebra in a simple Lie algebra G is exploited for the obtention of new G-realizations from a "canonical" differential one. The method is applied to the conformal algebra so(4,2) and therefore yields also results for its Poincare subalgebra. Unitary irreducible representations of these algebras are recognized in this approach, which is naturally compared -or associated- to the induced representation technic.

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