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Self-duality, Ramond-Ramond fields and K-theory

Moore, Gregory and Witten, Edward (2000) Self-duality, Ramond-Ramond fields and K-theory. Journal of High Energy Physics, 2000 (5). Art. No. 032. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:MOOjhep00

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Abstract

Just as D-brane charge of type-IIA and type-IIB superstrings is classified, respectively, by K-1(X) and K(X), Ramond-Ramond fields in these theories are classified, respectively, by K(X) and K-1(X). By analyzing a recent proposal for how to interpret quantum self-duality of RR fields, we show that the Dirac quantization formula for the RR p-forms, when properly formulated, receives corrections that reflect curvature, lower brane charges, and an anomaly of D-brane world-volume fermions. The K-theory framework is important here, because the term involving the fermion anomaly cannot be naturally expressed in terms of cohomology and differential forms.


Item Type:Article
ORCID:
AuthorORCID
Witten, Edward0000-0002-7752-6073
Additional Information:© Institute of Physics and IOP Publishing Limited 2000. Received 12 April 2000, accepted for publication 17 May 2000. Published 13 June 2000. Work of GM was supported in part by DOE grant DE-FG-02-92ER40704. GM also thanks the Institute for Advanced Study for hospitality and the Monell Foundation for support during the initiation of this work. Work of EW was supported in part by NSF Grant PHY-9513835 and the Caltech Discovery Fund. We are grateful to D. Freed and M. J. Hopkins for encouraging us to express everything in terms of K-theory, and to M. F. Atiyah, D. Freed, M. J. Hopkins, G. Segal, and I. Singer for detailed explanations of a variety of mathematical points. We also thank E. Diaconescu for discussions about RR fields.
Subject Keywords:superstrings and heterotic strings, D-branes, string duality, RIEMANNIAN GEOMETRY, SPECTRAL ASYMMETRY
Issue or Number:5
Record Number:CaltechAUTHORS:MOOjhep00
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:MOOjhep00
Alternative URL:http://dx.doi.org/10.1088/1126-6708/2000/05/032
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:605
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 Sep 2005
Last Modified:27 Oct 2017 19:05

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