Abstract
We discuss deformations of orbifold singularities on tilted tori in the context of Type IIA orientifold model building with D6-branes on special Lagrangian cycles. Starting from \( {T}^6/\left({\mathrm{\mathbb{Z}}}_2\times {\mathrm{\mathbb{Z}}}_2\right) \), we mod out an additional \( {\mathrm{\mathbb{Z}}}_3 \) symmetry to describe phenomenologically appealing backgrounds and reduce to \( {\mathrm{\mathbb{Z}}}_3 \) and \( \Omega \mathrm{\mathcal{R}} \) invariant orbits of deformations. While D6-branes carrying SO(2N) or USp(2N) gauge groups do not constrain deformations, D6-branes with U(N) gauge groups develop non-vanishing D-terms if they couple to previously singular, now deformed cycles. We present examples for both types of D6-branes, and in a three-generation Pati-Salam model on \( {T}^6/\left({\mathrm{\mathbb{Z}}}_2\times {\mathrm{\mathbb{Z}}}_6^{\prime}\right) \) we find that ten out of 15 twisted complex structure moduli are indeed stabilised at the orbifold point by the existence of the brane stacks.
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Blaszczyk, M., Honecker, G. & Koltermann, I. Deformations on tilted tori and moduli stabilisation at the orbifold point. J. High Energ. Phys. 2015, 19 (2015). https://doi.org/10.1007/JHEP11(2015)019
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DOI: https://doi.org/10.1007/JHEP11(2015)019