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(Anti)symmetric matter and superpotentials from IIB orientifolds

K. Landsteiner·C. I. Lazaroiu·Radu Tatar
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Abstract

We study the IIB engineering of N=1 gauge theories with unitary gauge group and matter in the adjoint and (anti)symmetric representations. We show that such theories can be obtained as Z2 orientifolds of Calabi-Yau A2 fibrations, and discuss the explicit T-duality transformation to an orientifolded Hanany-Witten construction. The low energy dynamics is described by a geometric transition of the orientifolded background. Unlike previously studied cases, we show that the orientifold 5-`plane' survives the transition, thus bringing a nontrivial contribution to the effective superpotential. We extract this contribution by using matrix model results and compare with geometric data. A Higgs branch of our models recovers the engineering of SO/Sp theories with adjoint matter through an O5-`plane' T-dual to an O6-plane. We show that the superpotential agrees with that produced by engineering through an O5-`plane' dual to an O4-plane, even though the orientifold of this second construction is replaced by fluxes after the transition.

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K. Landsteiner, C. I. Lazaroiu, Radu Tatar. 2003-06-24. (Anti)symmetric matter and superpotentials from IIB orientifolds. https://doi.org/10.1088/1126-6708%2F2003%2F11%2F044

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