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arXiv 0705.0866hep-thgr-qcmath-phmath.MP
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Taub-NUT空间上Dirac理论的无限圈超代数

Infinite loop superalgebras of the Dirac theory on the Euclidean Taub-NUT space

Ion I. Cotaescu, Mihai Visinescu

摘要:

欧几里德-陶布-NUT空间中的狄拉克理论产生了大量与真正的或隐藏的对称性相关的守恒算子。它们涉及到有趣的代数结构,如动力代数,甚至无限维代数或超代数。在这里,我们提出了一个无限维的超代数,它是Dirac理论在流形上的特殊性质,带有Gross-Perry-Sorkin定理。证明了存在一个无限维超代数,它可以看作是一个扭圈超代数。

英文摘要:

The Dirac theory in the Euclidean Taub-NUT space gives rise to a large collection of conserved operators associated to genuine or hidden symmetries. They are involved in interesting algebraic structures as dynamical algebras or even infinite-dimensional algebras or superalgebras. One presents here the infinite-dimensional superalgebra specific to the Dirac theory in manifolds carrying the Gross-Perry-Sorkin monopole. It is shown that there exists an infinite-dimensional superalgebra that can be seen as a twisted loop superalgebra.

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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