Emilian Dudas (École Polytechnique)
Electric Fields and Open Strings in Compact Spaces
We analyse open strings in the presence of electric fields in the internal space, T-dual to branes moving with constant velocities in the internal space. The direction of the electric field inside a two torus has to be quantised consistently, such that after T-duality D-brane motion in the internal torus is periodic, albeit with a periodicity that can be parametrically large in terms of internal radii. We present a quantum mechanical analysis of charged particles in a torus for both electric and magnetic internal fields. The results could be relevant for inflationary scenarios with branes.