Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-10-23
JHEP 0812:078,2008
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, no figures
Scientific paper
10.1088/1126-6708/2008/12/078
We "solve" the Freed-Witten anomaly equation, i.e., we find a geometrical classification of the B-field and A-field configurations in the presence of D-branes that are anomaly-free. The mathematical setting being provided by the geometry of gerbes, we find that the allowed configurations are jointly described by a coset of a certain hypercohomology group. We then describe in detail various cases that arise according to such classification. As is well-known, only under suitable hypotheses the A-field turns out to be a connection on a canonical gauge bundle. However, even in these cases, there is a residual freedom in the choice of the bundle, naturally arising from the hypercohomological description. For a B-field which is flat on a D-brane, fractional or irrational charges of subbranes naturally appear; for a suitable gauge choice, they can be seen as arising from "gauge bundles with not integral Chern class": we give a precise geometric interpretation of these objects.
Bonora Loriano
Ruffino Fabio Ferrari
Savelli Raffaele
No associations
LandOfFree
Classifying A-field and B-field configurations in the presence of D-branes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Classifying A-field and B-field configurations in the presence of D-branes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classifying A-field and B-field configurations in the presence of D-branes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-680930