https://doi.org/10.1140/epjc/s10052-020-8129-x
Regular Article - Theoretical Physics
Courant bracket found out to be T-dual to Roytenberg bracket
Institute of Physics, University of Belgrade, 11080, Belgrade, Serbia
* e-mail: ivanisevic@ipb.ac.rs
Received:
24
January
2020
Accepted:
8
June
2020
Published online:
25
June
2020
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, twisted by a 2-form 
. Furthermore, we consider the T-dual generalized currents and obtain their Poisson bracket algebra. It gives rise to the Roytenberg bracket, equivalent to the Courant bracket twisted by a bi-vector 
, in case of 
. We conclude that the twisted Courant and Roytenberg brackets are T-dual, when the quantities used for their deformations are mutually T-dual.
© The Author(s), 2020
