A comment on discrete Kalb-Ramond field on orientifold and rank reduction

Abstract

We show that the rank reduction of the gauge group on orientifolds in presence of non vanishing discrete Kalb-Ramond field can be explained by the presence of an induced field strength in a non trivial bundle on the branes. This field strength is also necessary for the tadpole cancellation and the number of branes is left unchanged by the presence of the discrete Kalb-Ramond background.

arXiv commentv2: added references, improved introduction and corrected misprints; 15 pages

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• Strings in an arbitrary constant magnetic field with arbitrary constant metric and stringy form factors
• The generating function of amplitudes with N twisted and M untwisted states
• Open and Closed String Vertices for branes with magnetic field and T-duality
• Canonical quantization of a string describing $N$ branes at angles
• Towards a fully stringy computation of Yukawa couplings on non factorized tori and non abelian twist correlators (I): the classical solution and action
• Orientifolds and D-branes in N=2 gauged linear sigma models
• From Twists and Shifts to L-R asymmetric D-branes
• On the gauge chosen by the bosonic open string