de Rham cohomology of SO(n) and some related manifolds by supersymmetric quantum mechanics

Details de Rham cohomology of SO(n) and some related manifolds by supersymmetric quantum mechanics de Rham cohomology of SO(n) and some related manifolds by supersymmetric quantum mechanics

1998-02-09

arxiv.org/abs/hep-th/9802053v1

J.Math.Phys. 39 (1998) 3120-3130

Physics

High Energy Physics

High Energy Physics - Theory

18pages,Latex

Scientific paper

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.

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