超对称量子力学与Lefschetz不动点公式

摘要

在超对称量子力学的框架下,通过利用一种特殊的边界条件,给出了Lefschetz不动点公式的一个物理证明.回顾了黎曼流形上的N=1超对称量子力学系统,并将Hodge算子实现为Fock空间上的物理算子.%A physical proof of Lefschetz fixed-point formula in the framework of supersymmetric quantum mechanics was given by means of a special boundary condition. N=1 supersymmetric quantum mechanics on Riemannian manifold was reviewed and the physical realization of Hodge star operator on the Fock space was explicitly constructed.