Ramond-Ramond Fields in Orientifold Backgrounds and K-Theory

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

We review some results concerning the classification of orientifolds and branes by K-theory, as well as the role played by the Atiyah-Herzibruch Spectral Sequence relating cohomology and K-theory. The non-existencie of certain types of orientifold planes, their fractional charge and the topological obstruction to have non-zero K-theory charges, avoiding global gauge anomalies, are some of the physical consequences of this relation.

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