Regular Article - Theoretical Physics
Courant bracket twisted both by a 2-form B and by a bi-vector
Institute of Physics, University of Belgrade, Pregrevica 118, 11080, Belgrade, Serbia
Accepted: 12 July 2021
Published online: 3 August 2021
We obtain the Courant bracket twisted simultaneously by a 2-form B 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.
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