Model building on the non-factorisable type IIA $\bf{T^6/(\mathbb{Z}_4\times\Omega\mathcal{R})}$ orientifold

TL;DR

This paper constructs semi-realistic supersymmetric models with intersecting D6-branes on a non-factorisable orientifold, highlighting differences from the factorisable case due to additional geometric and topological constraints.

Contribution

It introduces a method for building supersymmetric models on a non-factorisable orientifold, addressing unique conditions for three-cycles and wrapping numbers.

Findings

New conditions for Lagrangian three-cycles

Additional constraints on wrapping numbers

Successful construction of semi-realistic models

Abstract

We construct global semi-realistic supersymmetric models with intersecting D6-branes on the non-factorisable orientifold $T^6/(\mathbb{Z}_4\times\Omega\mathcal{R})$. The non-factorisable structure gives rise to differences compared to the factorisable case: additional conditions for the three-cycles to be Lagrangian and extra constraints on the wrapping numbers for building fractional cycles.