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.
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