Massive N=2 supergravity in three dimensions

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Alkac G., Basanisi L., Bergshoeff E. A., Özkan M., Sezgin E.

JOURNAL OF HIGH ENERGY PHYSICS, no.2, pp.1-28, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.1007/jhep02(2015)125
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-28
  • Hacettepe University Affiliated: No


There exists two distinct off-shell N = 2 supergravities in three dimensions. They are also referred to as N = (1, 1) and N = (2, 0) supergravities, and they arise from the coupling of the Weyl multiplet to a compensating scalar or vector multiplet, respectively, followed by fixing of conformal symmetries. The N = (p, q) terminology refers to the underlying anti-de Sitter superalgebras OSp(2, p)circle plus OSp(2, q) with R-symmetry group SO(p) x SO(q). We construct off-shell invariants of these theories up to fourth order in derivatives. As an application of these results, we determine the special combinations of the N = (1, 1) invariants that admit anti-de Sitter vacuum solution about which there is a ghost-free massive spin-2 multiplet of propagating modes. We also show that the N = (2,0) invariants do not allow such possibility.