Rigid D6-branes on T6/[Z(2)xZ(2M)xOmegaR] with discrete torsion

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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110 pages, 63 tables, 4 figures; v2: reference added and typo in caption 3 corrected; v3: acknowledgement added, accepted for

Scientific paper

10.1007/JHEP01(2011)091

We give a complete classification of T6/[Z(2)xZ(2M)xOmegaR] orientifolds on factorisable tori and rigid D6-branes on them. The analysis includes the supersymmetry, RR tadpole cancellation and K-theory conditions and complete massless open and closed string spectrum (i.e. non-chiral as well as chiral) for fractional or rigid D6-branes for all inequivalent compactification lattices, without and with discrete torsion. We give examples for each orbifold background, which show that on Z(2)xZ(6) and Z(2)xZ(6') there exist completely rigid D6-branes despite the self-intersections of orbifold image cycles. This opens up a new avenue for improved Standard Model building. On the other hand, we show that Standard and GUT model building on the Z(2)xZ(4) background is ruled out by simple arguments.

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