Anticommutativity Equation in Topological Quantum Mechanics

Details Anticommutativity Equation in Topological Quantum Mechanics Anticommutativity Equation in Topological Quantum Mechanics

2002-12-02

arxiv.org/abs/hep-th/0212005v1

JETP Lett. 76 (2002) 724-727; Pisma Zh.Eksp.Teor.Fiz. 76 (2002) 855-858

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, no figures, Latex

Scientific paper

10.1134/1.1556214

We consider topological quantum mechanics as an example of topological field theory and show that its special properties lead to numerous interesting relations for topological corellators in this theory. We prove that the generating function $\mathcal{F}$ for thus corellators satisfies the anticommutativity equation $(\mathcal{D}- \mathcal{F})^2=0$. We show that the commutativity equation $[dB,dB]=0$ could be considered as a special case of the anticommutativity equation.

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