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. https://resolver.caltech.edu/CaltechAUTHORS:20111207-090734635
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Abstract
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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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. | |||||||||
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Issue or Number: | 1 | |||||||||
DOI: | 10.4310/ATMP.2000.v4.n1.a3 | |||||||||
Record Number: | CaltechAUTHORS:20111207-090734635 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20111207-090734635 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 28333 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Tony Diaz | |||||||||
Deposited On: | 13 Dec 2011 16:26 | |||||||||
Last Modified: | 09 Nov 2021 16:56 |
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