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D-branes in a topologically nontrivial B-field

Kapustin, Anton (2000) D-branes in a topologically nontrivial B-field. Advances in Theoretical and Mathematical Physics, 4 (1). pp. 127-154. ISSN 1095-0761. doi:10.4310/ATMP.2000.v4.n1.a3.

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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.

Item Type:Article
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URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
Additional Information:© 2000 International Press. I would like to thank Mikhail Khovanov for useful discussions. This work was supported by a DOE grant DE-FG02-90ER40542.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-90ER40542
Issue or Number:1
Record Number:CaltechAUTHORS:20111207-090734635
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:28333
Deposited By: Tony Diaz
Deposited On:13 Dec 2011 16:26
Last Modified:09 Nov 2021 16:56

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