Regular Article - Theoretical Physics
-duality in a weakly curved background
Institute of Physics, University of Belgrade, Belgrade, Serbia
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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