Non-Abelian Bosonization and Higher Spin Symmetries

Details Non-Abelian Bosonization and Higher Spin Symmetries Non-Abelian Bosonization and Higher Spin Symmetries

1995-03-08

arxiv.org/abs/hep-th/9503047v1

Int. J. Mod. Phys. A11 (1996) 4065

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, harvmac, no figures

Scientific paper

The higher spin properties of the non-abelian bosonization in the classical theory are investigated. Both the symmetry transformation algebra and the classical current algebra for the non-abelian free fermionic model are linear Gel'fand-Dickey type algebras. However, for the corresponding WZNW model these algebras are different. There exist symmetry transformations which algebra remains the linear Gel'fand-Dickey algebra while in the corresponding current algebra nonlinear terms arised. Moreover, this algebra is closed (in Casimir form) only in an extended current space in which nonlinear currents are included. In the affine sector, it is necessary to be included higher isotopic spin current too. As result we have a triple extended algebra.

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