de Rham cohomology of SO(n) and some related manifolds by supersymmetric quantum mechanics
arXiv:hep-th/9802053 · doi:10.1063/1.532242
Abstract
We study supersymmetric quantum mechanics on RP_{n},SO(n),G_{2} and U(2) to examine Witten's Morse theory concretely. We confirm the simple instanton picture of the de Rham cohomology that has been given in a previous paper. We use a reflection symmetry of each theory to select the true vacuums. The number of selected vacuums agrees with the de Rham cohomology for each of the above manifolds.
arXiv comment18pages,Latex