High Energy Physics - Theory
[Submitted on 9 Mar 1992
]
Title: The Extension Structure of 2D Massive Current Algebras
Title: 二维大质量电流代数的扩张结构
Abstract: 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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