Instanton effects and Witten complex in supersymmetric quantum mechanics on SO(4)

Abstract

We examine supersymmetric quantum mechanics on $SO(4)$ to realize Witten's idea. We find instanton solutions connecting approximate vacuums. We calculate Hessian matrices for these solutions to determine true vacuums. Our result is in agreement with de Rham cohomology of $SO(4)$. We also give a criterion for cancellation of instanton effects for a pair of instanton paths.

arXiv comment26pages, Latex

Cited by in corpus (2)

• De Rham Cohomology of SO(n) by Supersymmetric Quantum Mechanics
• de Rham cohomology of SO(n) and some related manifolds by supersymmetric quantum mechanics