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

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

2007-05-07

arxiv.org/abs/0705.0866v2

J.Phys.A40:11987-12000,2007

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX, references added

Scientific paper

10.1088/1751-8113/40/39/018

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.

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