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arXiv · 2112.05896

Deformed super brackets on forms of a manifold

Kentaro Mikami·Tadayoshi Mizutani
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Abstract

Given a manifold, we have a super bracket on the graded algebra of differential forms by {A,B} = (-1)^{a} d(A \wedge B). We study when {A,B}_{t} = (-1)^{a} d(A \wedge B) + F(a,b) A \wedge t \phi \wedge B becomes super bracket for a 1-form \phi. And we show a concrete small example where the situation of parameter t is not identical.

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Kentaro Mikami, Tadayoshi Mizutani. 2021-12-11. Deformed super brackets on forms of a manifold. https://arxiv.org/abs/2112.05896

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