Solutions of (2+1)-dimensional Einstein-Maxwell theory with parasupersymmetry - art. no. 084026

Some special solutions of the Einstein-Maxwell action with a non-negative c osmological constant and a very heavy point mass particle are obtained. The solutions correspond to the static spacetime of a locally constant curvatu re in its spatial part and a constant magnetic field of a magnetic monopole together with a deficit of angle at the location of the point mass. The qu antum mechanics of a point particle in these spacetimes in the absence of a n angular deficit are solved algebraically both relativistic;ally and nonre lativistically. It is also shown that these two-dimensional Hamiltonians ha ve the degeneracy group of GL(2,c) type and parasupersymmetry of arbitrary order or shape invariance, which originated from an SO(4,c) group. [S0556-2 821(99)07718-8].