Effective action of (massive) IIA on manifolds with SU(3) structure

TL;DR

This paper studies compactifications of massive type IIA supergravity on SU(3) structure manifolds, deriving effective theories, supersymmetry breaking mechanisms, and stable moduli configurations without non-perturbative effects.

Contribution

It provides explicit derivations of the superpotential and Kaehler potential for N=1 theories from SU(3) structure compactifications, including stable moduli solutions.

Findings

Derived the gravitino mass matrix for N=2 theories.

Identified spontaneous partial supersymmetry breaking.

Found explicit N=1 supersymmetric minima with stabilized moduli.

Abstract

In this paper we consider compactifications of massive type IIA supergravity on manifolds with SU(3) structure. We derive the gravitino mass matrix of the effective four-dimensional N = 2 theory and show that vacuum expectation values of the scalar fields naturally induce spontaneous partial supersymmetry breaking. We go on to derive the superpotential and the Kaehler potential for the resulting N = 1 theories. As an example we consider the SU(3) structure manifold SU(3)/U(1)xU(1) and explicitly find N = 1 supersymmetric minima where all the moduli are stabilised at non-trivial values without the use of non-perturbative effects.