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arXiv math-ph/0002015math-phmath.MP
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类Mickelsson-Faddeev代数的具体Fock表示

Concrete Fock representations of Mickelsson-Faddeev-like algebras

T. A. Larsson

摘要:

Mickelsson-Faddeev(MF)代数可以很自然地嵌入到非李代数中,这表明它没有Fock表示。困难是由于连接变换律中的非齐次项。省略这一项会产生一个“经典MF代数”,它有其他的阿贝尔扩张,这些扩张确实拥有Fock模。我显式地构造了这样的模块和更高维度的维拉索罗代数的交织作用。

英文摘要:

The Mickelsson-Faddeev (MF) algebra can naturally be embedded in a non-Lie algebra, which suggests that it has no Fock representations. The difficulties are due to the inhomogeneous term in the connection's transformation law. Omitting this term yields a ``classical MF algebra'', which has other abelian extensions that do possess Fock modules. I explicitly construct such modules and the intertwining action of the higher-dimensional Virasoro algebra.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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