Relating Double Field Theory to the Scalar Potential of N=2 Gauged Supergravity

TL;DR

This paper connects double field theory with N=2 gauged supergravity by deriving the scalar potential from flux compactifications on Calabi-Yau three-folds, simplifying calculations without explicit metric knowledge.

Contribution

It provides a novel method to express the scalar potential in terms of fluxes and geometric data, linking double field theory to supergravity scalar potentials.

Findings

Derived scalar potential from double field theory flux compactification.

Reformulated the potential without explicit Calabi-Yau metric dependence.

Confirmed consistency with flux-induced superpotential and D-term contributions.

Abstract

The double field theory action in the flux formulation is dimensionally reduced on a Calabi-Yau three-fold equipped with non-vanishing type IIB geometric and non-geometric fluxes. First, we rewrite the metric-dependent reduced DFT action in terms of quantities that can be evaluated without explicitly knowing the metric on the Calabi-Yau manifold. Second, using properties of special geometry we obtain the scalar potential of N=2 gauged supergravity. After an orientifold projection, this potential is consistent with the scalar potential arising from the flux-induced superpotential, plus an additional D-term contribution.