Yukawa couplings from magnetized D-brane models on non-factorisable tori

TL;DR

This paper calculates Yukawa couplings in a type IIB string theory setup with magnetized D-branes on a non-factorisable six-torus, revealing moduli-dependent results and consistency with dual type IIA configurations.

Contribution

It provides the first detailed computation of Yukawa couplings on non-factorisable tori with fluxes, including moduli dependence and duality checks.

Findings

Agreement with type IIA results in a non-trivial way

Yukawa couplings depend on torus moduli

Classical type IIB calculations reveal quantum-accessible information

Abstract

We compute Yukawa couplings in type IIB string theory compactified on a non factorisable six-torus in the presence of D9 branes and fluxes. The setting studied in detail, is obtained by T-dualising an intersecting brane configuration of type IIA theory compactified on a torus generated by the SO(12) root lattice. Particular deformations of such torus are taken into account and provide moduli dependent couplings. Agreement with the type IIA result is found in a non trivial way. The classical type IIB calculation gives also information on a factor accessible only by quantum computations on the type IIA side.