Yukawa couplings for intersecting D-branes on non-factorisable tori
Stefan Forste, Christoph Liyanage
TL;DR
This paper calculates Yukawa couplings in type IIa string theory with intersecting D6-branes on a non-factorisable six-torus, extending previous results and providing detailed formulas involving worldsheet instantons.
Contribution
It extends the computation of Yukawa couplings to non-factorisable tori generated by an SO(12) root lattice, including new formulas and details for intersection numbers.
Findings
Yukawa couplings expressed as sums over worldsheet instantons.
Extension of known formulas to non-factorisable tori.
Clarification of intersection number details for different torus types.
Abstract
We compute Yukawa couplings in type IIa string theory compactified on a six-torus in the presence of intersecting D6-branes. The six-torus is generated by an SO(12) root lattice. Yukawa couplings are expressed as sums over worldsheet instantons. Our result extends known expressions to a non-factorisable torus. As an aside we also fill in some details for the factorisable torus and non-coprime intersection numbers.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Nonlinear Waves and Solitons · Algebraic structures and combinatorial models