类Mickelsson-Faddeev代数的具体Fock表示
Concrete Fock representations of Mickelsson-Faddeev-like algebras
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。