Courant bracket found out to be T-dual to Roytenberg bracket
High Energy Physics - Theory
2020-07-02 v5
Abstract
Bosonic string moving in coordinate dependent background fields is considered. We calculate the generalized currents Poisson bracket algebra and find that it gives rise to the Courant bracket. Furthermore, we consider the T-dual theory and obtain the dual generalized currents Poisson bracket algebra. It gives rise to the Roytenberg bracket. We conclude that the Courant bracket twisted with the Kalb-Ramond field is T-dual to the Roytenberg bracket, with and flux.
Keywords
Cite
@article{arxiv.1903.04832,
title = {Courant bracket found out to be T-dual to Roytenberg bracket},
author = {Ilija Ivanišević and Ljubica Davidović and Branislav Sazdović},
journal= {arXiv preprint arXiv:1903.04832},
year = {2020}
}