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Maximally supersymmetric solutions of D=4 N=2 gauged supergravity

Kiril Hristov, Hugo Looyestijn, Stefan Vandoren

Abstract

We determine and analyze maximally supersymmetric configurations in four-dimensional gauged N=2 supergravity, preserving eight supercharges. These models include arbitrary electric gaugings in the vector- and hypermultiplet sectors. We present several examples of such solutions and connect some of them to vacuum solutions of flux compactifications in string theory.

Maximally supersymmetric solutions of D=4 N=2 gauged supergravity

Abstract

We determine and analyze maximally supersymmetric configurations in four-dimensional gauged N=2 supergravity, preserving eight supercharges. These models include arbitrary electric gaugings in the vector- and hypermultiplet sectors. We present several examples of such solutions and connect some of them to vacuum solutions of flux compactifications in string theory.

Paper Structure

This paper contains 19 sections, 83 equations.

Table of Contents

  1. Introduction
  2. N=2 supersymmetry rules
  3. Gauginos
  4. Hyperinos
  5. Gravitinos
  6. Negative scalar curvature
  7. Zero scalar curvature
  8. Summary
  9. Negative scalar curvature ($AdS_4$)
  10. Zero scalar curvature ($M_4$, $AdS_2 \times S^2$ or pp--wave)
  11. Lagrangians and scalar potentials
  12. Examples
  13. M-theory compactification on $SU(3)$ structure manifolds
  14. Reduction of M-theory on Sasaki-Einstein$_7$
  15. Other gaugings exhibiting $AdS_4$ vacua
  16. ...and 4 more sections