https://doi.org/10.1140/epjc/s10052-015-3808-8
Regular Article - Theoretical Physics
T-duality diagram for a weakly curved background
Institute of Physics, University of Belgrade, Belgrade, Serbia
* e-mail: ljubica@ipb.ac.rs
Received:
18
June
2014
Accepted:
23
November
2015
Published online:
7
December
2015
In one of our previous papers we generalized the Buscher T-dualization procedure. Here we will investigate the application of this procedure to the theory of a bosonic string moving in the weakly curved background. We obtain the complete T-dualization diagram, connecting the theories which are the result of the T-dualizations over all possible choices of the coordinates. We distinguish three forms of the T-dual theories: the initial theory, the theory obtained T-dualizing some of the coordinates of the initial theory and the theory obtained T-dualizing all of the initial coordinates. While the initial theory is geometric, all the other theories are non-geometric and additionally non-local. We find the T-dual coordinate transformation laws connecting these theories and show that the set of all T-dualizations forms an Abelian group.
© The Author(s), 2015
