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Orientifolds and Ktheory

MPS-Authors

Stefanski,  Bogdan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Braun, V., & Stefanski, B. (2002). Orientifolds and Ktheory.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5485-4
Abstract
Recently it has been shown that D-branes in orientifolds are not always described by equivariant Real Ktheory. In this paper we define a previously unstudied twisted version of equivariant Real K-theory which gives the D-brane spectrum for such orientifolds. We find that equivariant Real K-theory can be twisted by elements of a generalised group cohomology. This cohomology classifies all orientifolds just as group cohomology classifies all orbifolds. As an example we consider the $Omega imesI_4$ orientifolds. We completely determine the equivariant orthogonal K-theory $KO_{Zop_2}(R^{p,q})$ and analyze the twisted versions. Agreement is found between K-theory and BCFT results for both integrally and torsion charged D-branes