2 00 5 The Dirac monopole and differential characters
نویسنده
چکیده
We describe the Dirac monopole using the Cheeger-Simons differential characters. We comment on the rôle of the Dirac string and on the connection with Deligne cohomology.
منابع مشابه
ar X iv : h ep - t h / 01 07 20 5 v 1 2 4 Ju l 2 00 1 Hierarchy of Dirac , Pauli and Klein - Gordon conserved operators in Taub - NUT background
The algebra of conserved observables of the SO(4, 1) gauge-invariant theory of the Dirac fermions in the external field of the KaluzaKlein monopole is investigated. It is shown that the Dirac conserved operators have physical parts associated with Pauli operators that are also conserved in the sense of the Klein-Gordon theory. In this way one gets simpler methods of analyzing the properties of ...
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 . 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
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 کاملDirac Monopole in Non-Commutative Space
We consider static U(1) monopole in non-commutative space. Up to the second order in the non-commutativity scale θ, we find no non-trivial corrections to the Dirac solution, the monopole mass remains infinite. We argue the same holds for any arbitrary higher order. Some speculation about the nature of non-commutative spacetime and its relation to the cosmological constant is made. Non-commutati...
متن کامل