Explicit field realizations of W algebras

Details Explicit field realizations of W algebras Explicit field realizations of W algebras

2009-02-03

arxiv.org/abs/0902.0498v3

Phys.Rev.D79:126011,2009

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures, a reference corrected; v2: 8 pages, two columns, some mistakes are corrected, to appear in PRD

Scientific paper

10.1103/PhysRevD.79.126011

The fact that certain non-linear $W_{2,s}$ algebras can be linearized by the inclusion of a spin-1 current can provide a simple way to realize $W_{2,s}$ algebras from linear $W_{1,2,s}$ algebras. In this paper, we first construct the explicit field realizations of linear $W_{1,2,s}$ algebras with double-scalar and double-spinor, respectively. Then, after a change of basis, the realizations of $W_{2,s}$ algebras are presented. The results show that all these realizations are Romans-type realizations.

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