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On Maximal Massive 3D Supergravity

Eric A. Bergshoeff, Olaf Hohm, Jan Rosseel, Paul K. Townsend

Abstract

We construct, at the linearized level, the three-dimensional (3D) N = 4 supersymmetric "general massive supergravity" and the maximally supersymmetric N = 8 "new massive supergravity". We also construct the maximally supersymmetric linearized N = 7 topologically massive supergravity, although we expect N = 6 to be maximal at the non-linear level.

On Maximal Massive 3D Supergravity

Abstract

We construct, at the linearized level, the three-dimensional (3D) N = 4 supersymmetric "general massive supergravity" and the maximally supersymmetric N = 8 "new massive supergravity". We also construct the maximally supersymmetric linearized N = 7 topologically massive supergravity, although we expect N = 6 to be maximal at the non-linear level.

Paper Structure

This paper contains 21 sections, 106 equations, 3 tables.

Table of Contents

  1. Introduction
  2. $\mathcal{N}$-extended Weyl and Poincaré supermultiplets
  3. $\mathcal{N}=2$
  4. $\mathcal{N}=3$
  5. $\mathcal{N}=4$
  6. $\mathcal{N}=5$
  7. $\mathcal{N}=6$
  8. $\mathcal{N}=7$
  9. $\mathcal{N}=8$
  10. $\mathcal{N}=4$ Massive Supergravities
  11. Further properties of the Weyl multiplet fields
  12. ${\cal N}=4$ linearized Weyl multiplet actions
  13. ${\cal N}=4$ Einstein supergravity
  14. ${\cal N}=4$ massive supergravities
  15. $\mathcal{N}=8$ Maximal Supergravity
  16. ...and 6 more sections