Magnetized Four-Dimensional $Z_2 \times Z_2$ Orientifolds

Details Magnetized Four-Dimensional $Z_2 \times Z_2$ Orientifolds Magnetized Four-Dimensional $Z_2 \times Z_2$ Orientifolds

2003-05-26

arxiv.org/abs/hep-th/0305224v3

Nucl.Phys. B667 (2003) 261-309

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 81 pages, 1 figure. 2 references added

Scientific paper

10.1016/S0550-3213(03)00551-0

We study deformations of $Z_2 \times Z_2$ (shift-)orientifolds in four dimensions in the presence of both uniform Abelian internal magnetic fields and quantized NS-NS $B_{ab}$ backgrounds, that are shown to be equivalent to asymmetric shift-orbifold projections. These models are related by $T$-duality to orientifolds with $D$-branes intersecting at angles. As in corresponding six-dimensional examples, $D9$-branes magnetized along two internal directions acquire a charge with respect to the R-R six form, contributing to the tadpole of the orthogonal $D5$-branes (``brane transmutation''). The resulting models exhibit rank reduction of the gauge group and multiple matter families, due both to the quantized $B_{ab}$ and to the background magnetic fields. Moreover, the low-energy spectra are chiral and anomaly free if additional $D5$-branes longitudinal to the magnetized directions are present, and if there are no Ramond-Ramond tadpoles in the corresponding twisted sectors of the undeformed models.

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