https://doi.org/10.1140/epjc/s10052-013-2683-4
Regular Article - Theoretical Physics
-duality in a weakly curved background
Institute of Physics, University of Belgrade, Belgrade, Serbia
* e-mail: ljubica@ipb.ac.rs
Received:
23
July
2013
Accepted:
29
November
2013
Published online:
23
January
2014
We consider the closed string propagating in a weakly curved background which consists of a constant metric and a Kalb–Ramond field with an infinitesimally small coordinate-dependent part. We propose a procedure for constructing the -dual theory, performing -duality transformations along the coordinates on which the Kalb–Ramond field depends. The theory obtained is defined in the non-geometric double space, described by the Lagrange multiplier 
and its -dual in the flat space 
. We apply the proposed -duality procedure to the -dual theory and obtain the initial one. We discuss the standard relations between the -dual theories that imply that the equations of motion and momentum modes of one theory are the Bianchi identities and the winding modes of the other.
© The Author(s), 2014
