The superconformal gaugings in three dimensions

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Published 19 September 2008 • Published under licence by IOP Publishing Ltd
, , Citation Eric A. Bergshoeff et al JHEP09(2008)101 DOI 10.1088/1126-6708/2008/09/101

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Author affiliations

1 Centre for Theoretical Physics, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands

2 Departament Estructura i Constituents de la Materia & Institut de Ciències del Cosmos, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain

3 Université de Lyon, Laboratoire de Physique, Ecole Normale Supérieure de Lyon, 46 allée d'Italie, F-69364 Lyon Cedex 07, France

4 George P. and Cynthia W. Mitchell Institute for Fundamental Physics, Texas A&M University, College Station, TX 77843-4242, U.S.A.

Dates

  1. Received 4 August 2008
  2. Accepted 3 September 2008
  3. Published

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1126-6708/2008/09/101

Abstract

We show how three-dimensional superconformal theories for any number Script N ⩽ 8 of supersymmetries can be obtained by taking a conformal limit of the corresponding three-dimensional gauged supergravity models. The superconformal theories are characterized by an embedding tensor that satisfies a linear and quadratic constraint. We analyze these constraints and give the general solutions for all cases. We find new Script N = 4,5 superconformal theories based on the exceptional Lie superalgebras F(4),G(3) and D(2|1;α). Using the supergravity connection we discuss which massive deformations to expect. As an example we work out the details for the case of Script N = 6 supersymmetry.

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10.1088/1126-6708/2008/09/101