Massive N = 2 supergravity in three dimensions

Gökhan Alkaç, Luca Basanisi, Eric A. Bergshoeff*, Mehmet Ozkan, Ergin Sezgin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

Abstract: There exists two distinct off-shell (Formula presented.) = 2 supergravities in three dimensions. They are also referred to as (Formula presented.) = (1, 1) and (Formula presented.) = (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 (Formula presented.) = (p, q) terminology refers to the underlying anti-de Sitter superalgebras OSp(2, p) ⊕ OSp(2, q) with R-symmetry group SO(p) × 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 (Formula presented.) = (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 (Formula presented.) =(2,0) invariants do not allow such possibility.

Original languageEnglish
Article number125
JournalJournal of High Energy Physics
Volume2015
Issue number2
DOIs
Publication statusPublished - Feb 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015, The Author(s).

Funding

FundersFunder number
National Science FoundationPHY-1214344
Directorate for Mathematical and Physical Sciences1214344

    Keywords

    • Extended Supersymmetry
    • Supergravity Models

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