ar X iv : 0 70 5 . 08 66 v 2 [ he p - th ] 1 0 M ay 2 00 7 Infinite loop superalgebras of the Dirac theory on the Euclidean Taub - NUT space
نویسنده
چکیده
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. Pacs 04.62.+v
منابع مشابه
ar X iv : 0 70 5 . 08 66 v 1 [ he p - th ] 7 M ay 2 00 7 Infinite loop superalgebras of the Dirac theory on the Euclidean Taub - NUT space
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...
متن کاملar X iv : m at h - ph / 0 51 10 25 v 1 7 N ov 2 00 5 L 2 - index of the Dirac operator of generalized Euclidean Taub - NUT metrics
We compute the axial anomaly for the Taub-NUT metric on R. We show that the axial anomaly for the generalized Taub-NUT metrics introduced by Iwai and Katayama is finite, although the Dirac operator is not Fredholm. We show that the essential spectrum of the Dirac operator is the whole real line. Pacs: 04.62.+v
متن کاملar X iv : h ep - t h / 05 11 19 0 v 2 6 D ec 2 00 5 The Dirac equation in Taub - NUT space
Using chiral supersymmetry, we show that the massless Dirac equation in the Taub-NUT gravita-tional instanton field is exactly soluble and explain the arisal and the use of the dynamical (super) symmetry. 1. Introduction The Dirac equation D ψ = 0 in the Kaluza-Klein (KK) monopole field — obtained by imbedding the Taub-NUT solution into five-dimensional gravity with trivial time dependence [1] ...
متن کاملar X iv : h ep - t h / 05 11 19 0 v 1 1 8 N ov 2 00 5 The Dirac equation in Taub - NUT space
Using chiral supersymmetry, we show that the massless Dirac equation in the Taub-NUT gravita-tional instanton field is exactly soluble and explain the arisal and the use of the dynamical (super) symmetry. 1. Introduction The Dirac equation D ψ = 0 in the Kaluza-Klein (KK) monopole field — obtained by imbedding the Taub-NUT solution into five-dimensional gravity with trivial time dependence [1] ...
متن کاملar X iv : 0 70 5 . 34 40 v 1 [ he p - th ] 2 3 M ay 2 00 7 Semidensities , Second - Class Constraints and Conversion in Anti - Poisson Geometry
We consider Khudaverdian's geometric version of a Batalin-Vilkovisky (BV) operator ∆ E in the case of a degenerate anti-Poisson manifold. The characteristic feature of such an operator (aside from being a Grassmann-odd, nilpotent, second-order differential operator) is that it sends semi-densities to semidensities. We find a local formula for the ∆ E operator in arbitrary coordinates. As an imp...
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تاریخ انتشار 2008