Light-cone analysis of ungauged and topologically gauged BLG theories
arXiv:0811.3388 · doi:10.1088/0264-9381/26/17/175001
Abstract
We consider three-dimensional maximally superconformal Bagger-Lambert-Gustavsson (BLG) theory and its topologically gauged version (constructed recently in arXiv:0809.4478 [hep-th]) in the light-cone gauge. After eliminating the entire Chern-Simons gauge field, the ungauged BLG theory looks more conventional and, apart from the order of the interaction terms, resembles N=4 super-Yang-Mills theory in four dimensions. The light-cone superspace version of the BLG theory is given to quadratic and quartic order and some problems with constructing the sixth order interaction terms are discussed. In the topologically gauged case, we analyze the field equations related to the three Chern-Simons type terms of N=8 conformal supergravity and discuss some of the special features of this theory and its couplings to BLG.
22 pages; v2 some typos corrected
References in corpus (15)
- 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
- Three-Algebras and N=6 Chern-Simons Gauge Theories
- M2-branes, 3-Lie Algebras and Plucker relations
- Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
- N = 8 Superconformal Chern--Simons Theories
- One-loop corrections to Bagger-Lambert theory
- Ghost-Free Superconformal Action for Multiple M2-Branes
- D2 to D2
- Vortex Loop Operators, M2-branes and Holography
- On relating multiple M2 and D2-branes
- Three-dimensional N=8 conformal supergravity and its coupling to BLG M2-branes
- Superconformal M2-branes and generalized Jordan triple systems
Cited by in corpus (9)
- Topologically gauged superconformal Chern-Simons matter theories
- Higgsing M2 to D2 with gravity: N=6 chiral supergravity from topologically gauged ABJM theory
- Critical solutions in topologically gauged N=8 CFTs in three dimensions
- Dynamical supersymmetry in maximally supersymmetric gauge theories
- The BLG Theory in Light-Cone Superspace
- Still in Light-Cone Superspace
- Spectral analysis of polynomial potentials and its relation with ABJ/M-type theories
- Mass-Deformed BLG Theory in Light-Cone Superspace
- The superconformal theory is free!