Three-dimensional N=8 conformal supergravity and its coupling to BLG M2-branes
arXiv:0809.4478 · doi:10.1088/1126-6708/2009/03/074
Abstract
This paper is concerned with the problem of coupling the N=8 superconformal Bagger-Lambert-Gustavsson (BLG) theory to N=8 conformal supergravity in three dimensions. We start by constructing the on-shell N=8 conformal supergravity in three dimensions consisting of a Chern-Simons type term for each of the gauge fields: the spin connection, the SO(8) R-symmetry gauge field and the spin 3/2 Rarita-Schwinger (gravitino) field. We then proceed to couple this theory to the BLG theory. The final theory should have the same physical content, i.e., degrees of freedom, as the ordinary BLG theory. We discuss briefly the properties of this "topologically gauged" BLG theory and why this theory may be useful.
20 pages, v2: references and comments added, presentation in section 3.2 extended. v3: misprints and a sign error corrected, version published in JHEP
References in corpus (12)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Modeling Multiple M2's
- Comments on the Bagger-Lambert theory and multiple M2-branes
- Membranes on an Orbifold
- M2-branes, 3-Lie Algebras and Plucker relations
- Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
- AdS_4/CFT_3 -- Squashed, Stretched and Warped
- Bagger-Lambert Theory for General Lie Algebras
- N=8 superconformal gauge theories and M2 branes
- The Superconformal Gaugings in Three Dimensions