Courant bracket twisted both by a 2-form $B$ and by a bi-vector $\theta$
High Energy Physics - Theory
2021-08-10 v2
Abstract
We obtain the Courant bracket twisted simultaneously by a 2-form and a bi-vector by calculating the Poisson bracket algebra of the symmetry generator in the basis obtained acting with the relevant twisting matrix. It is the extension of the Courant bracket that contains well known Schouten-Nijenhuis and Koszul bracket, as well as some new star brackets. We give interpretation to the star brackets as projections on isotropic subspaces.
Cite
@article{arxiv.2103.09585,
title = {Courant bracket twisted both by a 2-form $B$ and by a bi-vector $\theta$},
author = {Lj. Davidović and I. Ivanišević and B. Sazdović},
journal= {arXiv preprint arXiv:2103.09585},
year = {2021}
}