Open and Closed String Vertices for branes with magnetic field and T-duality

Details Open and Closed String Vertices for branes with magnetic field and T-duality Open and Closed String Vertices for branes with magnetic field and T-duality

2009-10-14

arxiv.org/abs/0910.2576v1

JHEP 1002:064,2010

Physics

High Energy Physics

High Energy Physics - Theory

63 pages, 7 figures

Scientific paper

10.1007/JHEP02(2010)064

We discuss carefully the vertices which describe the dipole open strings and closed strings on a D-brane with magnetic flux on a torus. Translation invariance along closed cycles forces surprisingly closed string vertices written in open string formalism to acquire Chan-Paton like matrices. Moreover the one loop amplitudes have a single trace for the part of gauge group with the magnetic flux. These peculiarities are also required by consistency of the action of T-duality in the open string sector. In this way we can show to all orders in perturbation theory the equivalence of the T-dual open string theories, gravitational interactions included. We provide also a new and direct derivation of the bosonic boundary state in presence of constant magnetic and Kalb-Ramond background based on Sciuto-Della Selva-Saito vertex formalism.

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