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 (23)
- 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 Multiple M2-branes
- Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
- D=4 Super Yang Mills, D=5 gauged supergravity and D=4 conformal supergravity
- Superconformal Chern-Simons Theories
- Comments on the Bagger-Lambert theory and multiple M2-branes
- Membranes on an Orbifold
- Constraining Maximally Supersymmetric Membrane Actions
- M2 to D2 revisited
- M2-branes, 3-Lie Algebras and Plucker relations
- Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
- Dimensionally Reduced Gravitational Chern-Simons Term and its Kink
- New supergravities with central charges and Killing spinors in 2+1 dimensions
- M2-branes on M-folds
- AdS_4/CFT_3 -- Squashed, Stretched and Warped
- Bagger-Lambert Theory for General Lie Algebras
- GAMMA: A Mathematica package for performing gamma-matrix algebra and Fierz transformations in arbitrary dimensions
- N=8 superconformal gauge theories and M2 branes
- The Superconformal Gaugings in Three Dimensions
- On relating multiple M2 and D2-branes
Cited by in corpus (19)
- Off-shell supergravity-matter couplings in three dimensions
- AdS Description of Induced Higher-Spin Gauge Theory
- On Maximal Massive 3D Supergravity
- N=6 conformal supergravity in three dimensions
- Topologically gauged superconformal Chern-Simons matter theories
- Higgsing M2 to D2 with gravity: N=6 chiral supergravity from topologically gauged ABJM theory
- Three-dimensional topologically gauged N=6 ABJM type theories
- Higher Derivative Supergravities in Diverse Dimensions
- Gravity/CFT correspondence for three dimensional Einstein gravity with a conformal scalar field
- Supergravity at the boundary of AdS supergravity
- The non-linear coupled spin 2 - spin 3 Cotton equation in three dimensions
- D=3, N=8 conformal supergravity and the Dragon window
- Critical solutions in topologically gauged N=8 CFTs in three dimensions
- On the conformal higher spin unfolded equation for a three-dimensional self-interacting scalar field
- Light-cone analysis of ungauged and topologically gauged BLG theories
- Aspects of topologically gauged M2-branes with six supersymmetries: towards a "sequential AdS/CFT"?
- Coupling of the BLG theory to a conformal supergravity background
- Spontaneous breaking of nilpotent symmetry in boundary BLG theory
- Towards an exact frame formulation of conformal higher spins in three dimensions