Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory
arXiv:0902.3454 · doi:10.1140/epjc/s10052-010-1385-4
Abstract
We introduce an anti-symmetric metric into a 3-algebra and call it a symplectic 3-algebra. The N=6, Sp(2N) X U(1) superconformal Chern-Simons-matter theory with SU(4) R-symmetry in three dimensions is constructed by specifying the 3-brackets in a symplectic 3-algebra. We also demonstrate that the N=6, U(M) X U(N) theory can be recast into this symplectic 3-algebraic framework.
17 pages, version accepted for publication in EPJC. Section 4 added, showing that the N=6, U(M) X U(N) theory can be recast into the symplectic 3-algebraic framework. Previous Appendix A deleted
References in corpus (23)
- 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
- Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
- Notes on Superconformal Chern-Simons-Matter Theories
- Three-Algebras and N=6 Chern-Simons Gauge Theories
- Membranes on an Orbifold
- Selfdual strings and loop space Nahm equations
- Constraining Maximally Supersymmetric Membrane Actions
- M2 to D2 revisited
- Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
- Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
- Spinning strings at one-loop in AdS_4 x P^3
- Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
- M2-branes on M-folds
- Classification of N=6 superconformal theories of ABJM type
- Two loop integrability for Chern-Simons theories with N=6 supersymmetry
- AdS4/CFT3 at One Loop
- Multiple M2-branes and the Embedding Tensor
- Membranes on Calibrations
- Multiple Membranes from Gauged Supergravity
Cited by in corpus (10)
- Multiple Membranes in M-theory
- Three-algebras, triple systems and 3-graded Lie superalgebras
- Symplectic Three-Algebra Unifying N=5,6 Superconformal Chern-Simons-Matter Theories
- Superspace Formulation in a Three-Algebra Approach to D=3, N=4,5 Superconformal Chern-Simons Matter Theories
- Superalgebra Realization of the 3-algebras in N=6, 8 Chern-Simons-matter Theories
- Construction of New D=3, N=4 Quiver Gauge Theories
- Fusion of Superalgebras and D=3, N=4 Quiver Gauge Theories
- Covariantly Constant Curvature Tensors and D=3, N=4, 5, 8 Chern-Simons Matter Theories
- OSp(5|4) Superconformal Symmetry of N=5 Chern-Simons Theory
- Superconformal Chern-Simons theories beyond leading order