Eur. Phys. J. C (2012) 72: 2199
https://doi.org/10.1140/epjc/s10052-012-2199-3

Regular Article - Theoretical Physics

Non-geometric background arising in the solution of Neumann boundary conditions

Institute of Physics, University of Belgrade, Belgrade, Serbia

^* e-mail: ljubica@ipb.ac.rs

Received: 5 August 2012
Revised: 8 October 2012
Published online: 8 November 2012

Abstract

We investigate the open string propagation in a weakly curved background with the Kalb–Ramond field containing an infinitesimal part, linear in the coordinate. Solving the Neumann boundary conditions, we find the expression for the space-time coordinates in terms of the effective ones. So, the initial theory reduces to the effective one. This effective theory is defined on the non-geometric doubled space , where q ^μ is the effective coordinate and is its T-dual. The effective metric depends on the coordinate q ^μ and there exists a non-trivial effective Kalb–Ramond field which depends on the T-dual coordinate . The fact that is Ω-odd leads to the nonvanishing effective Kalb–Ramond field.