Branes and Fluxes in Orientifolds and K-theory

Abstract

RR fields in string backgrounds including orientifold planes and branes on top of them are classified by K-theory. Following the idea introduced in hep-th/0103183, we also classify such fluxes by cohomology. Both of them are compared through the Atiyah-Hirzebruch Spectral Sequence. Some new correlations between branes on orientifold planes $O{p}^{\pm }$ and obstructions to the existence of some branes are found. Finally, we find a topological condition that avoid the presence of global gauge anomalies in lower dimensional systems.

47 pages, latex, no figures. v4: Typos corrected, exposition improved. Main conclusions unchanged. To be published in Nuclear Physics B

References in corpus (15)

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• Orientifolds, RR Torsion, and K-theory
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• The fate of the type I non-BPS D7-brane
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Cited by in corpus (4)

• Instantonic Branes, Atiyah-Hirzebruch Spectral Sequence, and SL(2,Z) duality of N=4 SYM
• D-Branes in Orientifolds and Orbifolds and Kasparov KK-Theory
• Half-flat Quantum Hair
• The Exchange of Orientifold Two-Planes in M-theory