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

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

1995-08-31

arxiv.org/abs/hep-th/9508171v1

Prog.Theor.Phys. 96 (1996) 1237-1248

Physics

High Energy Physics

High Energy Physics - Theory

26pages, Latex

Scientific paper

10.1143/PTP.96.1237

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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