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.
机构:
Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
Okuda, T
Takayanagi, T
论文数: 0引用数: 0
h-index: 0
机构:
Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
Takayanagi, T
JOURNAL OF HIGH ENERGY PHYSICS,
2006,
(03):
: 4517
-
4555
机构:
Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
Okuda, T
Takayanagi, T
论文数: 0引用数: 0
h-index: 0
机构:
Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
Takayanagi, T
JOURNAL OF HIGH ENERGY PHYSICS,
2006,
(03):
: 4517
-
4555