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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. http://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
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/hep-th/9909089arXivDiscussion Paper
http://dx.doi.org/10.4310/ATMP.2000.v4.n1.a3DOIArticle
ORCID:
AuthorORCID
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.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-90ER40542
Record Number:CaltechAUTHORS:20111207-090734635
Persistent URL:http://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:27 Oct 2017 18:08

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