Infinite loop superalgebras of the Dirac theory on the Euclidean Taub NUT space
Abstract
The Dirac theory in the Euclidean TaubNUT space gives rise to a large collection of conserved operators associated with genuine or hidden symmetries. They are involved in interesting algebraic structures as dynamical algebras or even infinitedimensional algebras or superalgebras. One presents here the infinitedimensional superalgebra specific to the Dirac theory in manifolds carrying the GrossPerrySorkin monopole. It is shown that there exists an infinitedimensional superalgebra that can be seen as a twisted loop superalgebra.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 September 2007
 DOI:
 10.1088/17518113/40/39/018
 arXiv:
 arXiv:0705.0866
 Bibcode:
 2007JPhA...4011987C
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 16 pages, LaTeX, references added