Classifying A-field and B-field configurations in the presence of D-branes

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dc.creatorBonora, Loriano
dc.creatorRuffino, Fabio Ferrari
dc.creatorSavelli, Raffaele
dc.date2008-10-23
dc.date.accessioned2026-07-07T12:21:52Z
dc.date.available2026-07-07T12:21:52Z
dc.descriptionWe "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.
dc.description28 pages, no figures
dc.identifierhttps://arxiv.org/abs/0810.4291
dc.identifierhttp://arxiv.org/abs/0810.4291
dc.identifierJHEP 0812:078,2008
dc.identifierdoi:10.1088/1126-6708/2008/12/078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213471
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleClassifying A-field and B-field configurations in the presence of D-branes
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