# Three-forms in supergravity and flux compactifications

The European Physical Journal C, Sep 2017

We present a duality procedure that relates conventional four-dimensional matter-coupled $\mathcal{N}=1$ supergravities to dual formulations in which auxiliary fields are replaced by field strengths of gauge three-forms. The duality promotes specific coupling constants appearing in the superpotential to vacuum expectation values of the field strengths. We then apply this general duality to type IIA string compactifications on Calabi–Yau orientifolds with RR fluxes. This gives a new supersymmetric formulation of the corresponding effective four-dimensional theories which includes gauge three-forms.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1140%2Fepjc%2Fs10052-017-5185-y.pdf

Fotis Farakos, Stefano Lanza, Luca Martucci, Dmitri Sorokin. Three-forms in supergravity and flux compactifications, The European Physical Journal C, 2017, 602, DOI: 10.1140/epjc/s10052-017-5185-y