A N=8 action for multiple M2-branes with an arbitrary number of colors
arXiv:0903.5202 · doi:10.1007/JHEP06(2010)020
Abstract
We obtain a U(M) action for supermembranes with central charges in the Light Cone Gauge (LCG). The theory realizes all of the symmetries and constraints of the supermembrane together with the invariance under a U(M) gauge group with M arbitrary. The worldvolume action has (LCG) N=8 supersymmetry and it corresponds to M parallel supermembranes minimally immersed on the target M9xT2 (MIM2). In order to ensure the invariance under the symmetries and to close the corresponding algebra, a star-product determined by the central charge condition is introduced. It is constructed with a nonconstant symplectic two-form where curvature terms are also present. The theory is in the strongly coupled gauge-gravity regime. At low energies, the theory enters in a decoupling limit and it is described by an ordinary N=8 SYM in the IR phase for any number of M2-branes. We analyze also other limits of the theory: when M goes to we obtain a condensate of M2-branes. If we consider, instead of the exact action, its matrix regularized version, for suitable large N but with a finite number of colors, the algebra of the first class-constraints also closes with the ordinary product and we obtain a regularized 2+1D SU(M) SYM theory in the IR phase that is coupled to the SU(N) regularized supermembrane action. The supersymmetric regularized theory with the ordinary product has purely discrete spectrum. Our theory with the star-product is a full-fledged description of multiple M2-branes minimally immersed in distinction with other constructions that represent multiple M2-branes in the low energy approximation.
30pg, Latex, Typos corrected, references added, some more explanatory comments
References in corpus (28)
- 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
- Comments on the Bagger-Lambert theory and multiple M2-branes
- M2 to D2
- M2 to D2 revisited
- Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
- N = 8 Superconformal Chern--Simons Theories
- Mass-Deformed Bagger-Lambert Theory and its BPS Objects
- Towards M2-brane Theories for Generic Toric Singularities
- Bagger-Lambert Theory for General Lie Algebras
- Ghost-Free Superconformal Action for Multiple M2-Branes
- D2 to D2
- Membranes on Calibrations
- From N M2's to N D2's
- Light-cone M5 and multiple M2-branes
- The Superconformal Gaugings in Three Dimensions
- Multiple D2-Brane Action from M2-Branes
- Topological branes, p-algebras and generalized Nahm equations
- SDiff Gauge Theory and the M2 Condensate
- Non-linear theory for multiple M2 branes
- Topological Twisting of Multiple M2-brane Theory
- The supermembrane with central charges:(2+1)-D NCSYM, confinement and phase transition
- Nonperturbative SL(2,Z) (p,q)-strings manifestly realized on the quantum M2
- Introduction to a Non-Commutative Version of the Standard Model
- N=1 4D Supermembrane from 11D