Abstract
In some orientifolds the D-brane charges are not given by equivariant Real K-theory. We define a previously unstudied twisted version of equivariant Real K-theory which describes the D-brane spectrum for such orientifolds. We find that equivariant Real K-theory can be twisted by elements of a generalized group cohomology, and these cohomology groups classify all possible orientifolds. As an example we consider the Ω × I 4orientifolds, and find complete agreement between the K-theory and Boundary Conformai Field Theory (BCFT) results for both integrally- and torsion-charged D-branes.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Sen, Tachyon condensation on the brane antibrane system, JHEP 9808 (1998) 012, [hep-th/9805170]
E. Witten, D-branes and K-theory, JHEP 9812 (1998) 019, [hep-th/9810188].
M. Bianchi and A. Sagnotti, Twist Symmetry And Open String Wilson Lines, Nucl. Phys. B 361 (1991) 519.
J. D. Blum and A. Zaffaroni, An orientifold from F theory, Phys. Lett. B 387 (1996) 71, [hep-th/9607019].
A. Dabholkar and J. Park, A note on orientifolds and F-theory, Phys. Lett. B 394 (1997) 302, [hep-th/9607041].
E. G. Gimon and J. Polchinski, Consistency Conditions for Orientifolds and D-Manifolds, Phys. Rev. D 54 (1996) 1667, [hep-th/9601038].
V. Braun and B. Stefański, jr, Orientifolds and K-theory, [hep-th/0206158].
N. Quiroz and B. Stefański. jr, Dirichlet branes on orientifolds, Phys. Rev. D 66, 026002 (2002) [hep-th/0110041].
V. Braun, K-Theory and Exceptional Holonomy in String Theory, PhD thesis.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Braun, V. (2003). Orientifolds And K-Theory. In: Baulieu, L., Rabinovici, E., Harvey, J., Pioline, B., Windey, P. (eds) Progress in String, Field and Particle Theory. NATO Science Series, vol 104. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0211-0_16
Download citation
DOI: https://doi.org/10.1007/978-94-010-0211-0_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1361-4
Online ISBN: 978-94-010-0211-0
eBook Packages: Springer Book Archive