Reducing democratic type II supergravity on SU(3) x SU(3) structures

TL;DR

This paper investigates the dimensional reduction of Type II supergravity on SU(3) x SU(3) structures using generalized geometry, deriving the full N=2 scalar potential and bosonic action in four dimensions.

Contribution

It provides a geometric formula for the N=2 scalar potential and derives the complete bosonic action, including RR sector contributions, from a consistent truncation.

Findings

Derived the full N=2 scalar potential for SU(3) x SU(3) structures.

Obtained the complete N=2 bosonic action including RR contributions.

Established a consistent truncation ansatz for dimensional reduction.

Abstract

Type II supergravity on backgrounds admitting SU(3) x SU(3) structure and general fluxes is considered. Using the generalized geometry formalism, we study dimensional reductions leading to N=2 gauged supergravity in four dimensions, possibly with tensor multiplets. In particular, a geometric formula for the full N=2 scalar potential is given. Then we implement a truncation ansatz, and derive the complete N=2 bosonic action. While the NSNS contribution is obtained via a direct dimensional reduction, the contribution of the RR sector is computed starting from the democratic formulation and demanding consistency with the reduced equations of motion.