Structure Constants for New Infinite-Dimensional Lie Algebras of U(N+, N−) Tensor Operators and Applications
نویسنده
چکیده
The structure constants for Moyal brackets of an infinite basis of functions on the algebraic manifolds M of pseudo-unitary groups U(N+, N−) are provided. They generalize the Virasoro and W∞ algebras to higher dimensions. The connection with volumepreserving diffeomorphisms on M , higher generalized-spin and tensor operator algebras of U(N+, N−) is discussed. These centrally-extended, infinite-dimensional Lie-algebras provide also the arena for non-linear integrable field theories in higher dimensions, residual gauge symmetries of higher-extended objects in the light-cone gauge and C∗-algebras for tractable non-commutative versions of symmetric curved spaces. E-mail: [email protected] / [email protected]
منابع مشابه
Structure Constants for New Infinite - Dimensional Lie Algebras of
The structure constants for Moyal brackets of an infinite basis of functions on the algebraic manifolds M of pseudo-unitary groups U (N + , N −) are provided. They generalize the Virasoro and W ∞ algebras to higher dimensions. The connection with volume-preserving diffeomorphisms on M , higher generalized-spin and tensor operator algebras of U (N + , N −) is discussed. These centrally-extended,...
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