Equivariant Localization for Supersymmetric Quantum Mechanics

Details Equivariant Localization for Supersymmetric Quantum Mechanics Equivariant Localization for Supersymmetric Quantum Mechanics

2005-05-26

arxiv.org/abs/hep-th/0505242v3

Turk.J.Phys. 30 (2006) 391-400

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, no figures; corrected references and typos

Scientific paper

We apply equivariant localization to supersymmetric quantum mechanics and show that the partition function localizes on the instantons of the theory. Our construction of equivariant cohomology for SUSY quantum mechanics is different than the ones that already exist in the literature. A hidden bosonic symmetry is made explicit and the supersymmetry is extended. New bosonic symmetry is the square of the new fermionic symmetry. The D term is now the parameter of the bosonic symmetry. This construction provides us with an equivariant complex together with a Cartan differential and makes the use of localization principle possible.

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