Moduli Stabilising in Heterotic Nearly K\"ahler Compactifications

Understand

We study heterotic string compactifications on nearly K\"ahler homogeneous spaces, including the gauge field effects which arise at order \alpha'.

• Using Abelian gauge fields, we are able to solve the Bianchi identity and supersymmetry conditions to this order.
• The four-dimensional external space-time consists of a domain wall solution with moduli fields varying along the transverse direction.
• We find that the inclusion of \alpha' corrections improves the moduli stabilization features of this solution.