Stabilising the supersymmetric Standard Model on the Z_6' orientifold

Abstract

Four stacks of intersecting supersymmetric fractional D6-branes on the Z_6' orientifold have previously been used to construct consistent models having the spectrum of the supersymmetric Standard Model, including a single pair of Higgs doublets, plus three right-chiral neutrino singlets. However, various moduli, Kahler moduli and complex-structure moduli, twisted and untwisted, remain unfixed. Further, some of the Yukawa couplings needed to generated quark and lepton masses are forbidden by a residual global symmetry of the model. In this paper we study the stabilisation of moduli using background fluxes, and show that the moduli may be stabilised within the Kahler cone. In principle, missing Yukawa couplings may be restored, albeit with a coupling that is suppressed by non-perturbative effects, by the use Euclidean D2-branes that are pointlike in spacetime, i.e. E2-instantons. However, for the models under investigation, we show that this is not possible.

32 pages, LaTeX. Small addition made prior to submission for publication

References in corpus (6)

• Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
• Millions of Standard Models on Z6-prime?
• Constructing the supersymmetric Standard Model from intersecting D6-branes on the Z_6' orientifold
• Statistics of intersecting D-brane models on T^6/Z_6
• On general flux backgrounds with localized sources
• D-brane Instantons in 4D Supersymmetric String Vacua

Cited by in corpus (7)

• Rigour and Rigidity: Systematics on particle physics D6-brane models on Z(2)xZ(6)
• Circling the Square: Deforming fractional D-branes in Type II/$\Omega \mathcal{R}$ orientifolds
• Intersecting D6-branes on the Z_{12}-II orientifold
• From Type II string theory towards BSM/dark sector physics
• Towards Geometric D6-Brane Model Building on non-Factorisable Toroidal ${\mathbb{Z}}_4$-Orbifolds
• Yukawa couplings from magnetized D-brane models on non-factorisable tori
• Yukawa couplings for intersecting D-branes on non-factorisable tori