Regular Article - Theoretical Physics
Non-geometric background arising in the solution of Neumann boundary conditions
Institute of Physics, University of Belgrade, Belgrade, Serbia
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Revised: 8 October 2012
Published online: 8 November 2012
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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2012