The Extension Structure of 2D Massive Current Algebras

Details The Extension Structure of 2D Massive Current Algebras The Extension Structure of 2D Massive Current Algebras

1992-03-09

arxiv.org/abs/hep-th/9203020v1

Mod. Phys. Lett. A7 (1992) 3309-3318

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

The extension structure of the 2-dimensional current algebra of non-linear sigma models is analysed by introducing Kostant Sternberg $(L,M)$ systems. It is found that the algebra obeys a two step extension by abelian ideals. The second step is a non-split extension of a representation of the quotient of the algebra by the first step of the extension. The cocycle which appears is analysed.

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