Superconformal M2-branes and generalized Jordan triple systems
arXiv:0807.5134 · doi:10.1088/0264-9381/26/7/075007
Abstract
Three-dimensional conformal theories with six supersymmetries and SU(4) R-symmetry describing stacks of M2-branes are here proposed to be related to generalized Jordan triple systems. Writing the four-index structure constants in an appropriate form, the Chern-Simons part of the action immediately suggests a connection to such triple systems. In contrast to the previously considered three-algebras, the additional structure of a generalized Jordan triple system is associated to a graded Lie algebra, which corresponds to an extension of the gauge group. In this note we show that the whole theory with six manifest supersymmetries can be naturally expressed in terms of such a graded Lie algebra. Also the BLG theory with eight supersymmetries is included as a special case.
15 pages, v2 and v3: minor corrections and clarifications, references added, v2: section 4 extended, v3: published version
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Cited by in corpus (12)
- Multiple Membranes in M-theory
- Tensor hierarchies, Borcherds algebras and E11
- Three-algebras, triple systems and 3-graded Lie superalgebras
- Three-dimensional topologically gauged N=6 ABJM type theories
- Higgsing M2 to D2 with gravity: N=6 chiral supergravity from topologically gauged ABJM theory
- Some BPS configurations of the BLG Theory
- Simplicity in the Faulkner construction
- Unifying N=5 and N=6
- N=5 three-algebras and 5-graded Lie superalgebras
- Light-cone analysis of ungauged and topologically gauged BLG theories
- A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory
- Moduli and BPS configurations of the BLG theory