D-branes in a topologically nontrivial B-field

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作者
Kapustin, Anton [1 ]
机构
[1] Inst Adv Study Olden Lane, Sch Nat Sci, Princeton, NJ 08540 USA
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O412 [相对论、场论]; O572.2 [粒子物理学];
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摘要
We study global worldsheet anomalies for open strings ending on several coincident D-branes in the presence of a B-field. We show that cancellation of anomalies is made possible by a correlation between the t'Hooft magnetic flux on the D-branes and the topological class of the B-field. One application of our results is a proper understanding of the geometric nature of the gauge field living on D-branes: rather than being a connection on a vector bundle, it is a connection on a module over a certain noncommutative algebra. Our argument works for a general closed string background. We also explain why in the presence of a topologically nontrivial B-field whose curvature is pure torsion D-branes represent classes in a twisted K-theory, as conjectured by E. Witten.
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页数:24
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