标题： 2+1引力及其动力学对称性和参量超对称性嵌入到SO(4,c)群中 显示英文标题

标题： 2+1-Gravity and The Embedding its Dynamiycal Symmetry and Para-Supersymmetry into SO(4,c) Group

摘要： 一些具有非负宇宙常数和非常重的点质量粒子的爱因斯坦-麦克斯韦作用量的特殊解已经被获得。 这些解对应于其空间部分为局部常曲率的静态时空，以及磁单极子的恒定磁场和点质量位置的角度缺陷。 在没有角缺陷的情况下，这些时空中的点粒子的量子力学问题已经通过代数方法在相对论和非相对论情况下得到解决。 还表明，这些二维哈密顿量具有GL(2,c)类型的简并群和任意阶次或形状不变性的准超对称性，这来源于SO(4,c)群。 显示英文摘要

摘要： Some special solutions of the Einstein-Maxwell action with a non-negative cosmological constant and a very heavy point mass particle have been obtained. The solutions correspond to static spacetime of locally constant curvature in its spatial part and a constant magnetic field of a magnetic monopole together with deficit of angle at the location of point mass. The quantum mechanics of a point particle in these spacetimes in the absence of angular deficit has been solved algebraically both relativistically and non-relativistically. It has been also shown that these 2-dimensional Hamiltonians have the degeneracy group of GL(2,c) type and para-supersymmetry of arbitrary order or shape invariance, which is originated from a SO(4,c) group.