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Published May 1, 2001 | public
Journal Article Open

Orientifolds, RR torsion, and K-theory

Abstract

We analyze the role of RR fluxes in orientifold backgrounds from the point of view of K-theory, and demonstrate some physical implications of describing these fluxes in K-theory rather than cohomology. In particular, we show that certain fractional shifts in RR charge quantization due to discrete RR fluxes are naturally explained in K-theory. We also show that some orientifold backgrounds, which are considered distinct in the cohomology classification, become equivalent in the K-theory description, while others become unphysical.

Additional Information

Received 2 April 2001, accepted for publication 24 May 2001, Published 14 June 2001 O.B. and E.G. would like to thank M. Atiyah, A. Hanany, B. Kol, and especially E. Witten for useful conversations. S.S. would like to thank Y. Hyakutake and Y. Imamura for useful discussions. O.B. was supported in part by the DOE under grant no. DE-FG03-92-ER40701, and by a Sherman Fairchild Prize Fellowship. The work of E.G. was supported by the NSF under grant no. 0070928 and Frank and Peggy Taplin. The work of S.S. was supported in part by the Japan Society for the Promotion of Science. E-print number: hep-th/0103183

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August 21, 2023
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