Deformed super brackets on forms of a manifold
Symplectic Geometry
2021-12-14 v1
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.
Cite
@article{arxiv.2112.05896,
title = {Deformed super brackets on forms of a manifold},
author = {Kentaro Mikami and Tadayoshi Mizutani},
journal= {arXiv preprint arXiv:2112.05896},
year = {2021}
}
Comments
10 pages