Classifying A-field and B-field configurations in the presence of D-branes - Part II: Stacks of D-branes

In the paper arXiv:0810.4291 we have shown, in the context of type II superstring theory, the classification of the allowed B-field and A-field configurations in the presence of anomaly-free D-branes, the mathematical framework being provided by the geometry of gerbes. Here we complete the discussion considering in detail the case of a stack of D-branes, carrying a non-abelian gauge theory, which was just sketched in the previous paper. In this case we have to mix the geometry of abelian gerbes, describing the B-field, with the one of higher-rank bundles, ordinary or twisted. We describe in detail the various cases that arise according to such a classification, as we did for a single D-brane, showing under which hypoteses the A-field turns out to be a connection on a canonical gauge bundle. We also generalize to the non-abelian setting the discussion about "gauge bundles with non integral Chern classes", relating them to twisted bundles with connection. Finally, we analyze the geometrical nature of the Wilson loop for each kind of gauge theory on a D-brane or stack of D-branes.Comment: 29 page

Promoting religious freedom and peace through cross-cultural dialogue

This report contributes to the debate on the international religious freedom agenda and suggests that the simultaneous promotion of religious freedom on the one hand and cross-cultural and inter-religious dialogue on the other can represent a consensual and effective platform to combat intolerance, discrimination, and violence based on religion or belief and to build in the long term a peaceful socio-political environment