Superconformal M2-branes and generalized Jordan triple systems
Journal article, 2009

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 3-algebras, the additional structure of a generalized Jordan triple system is associated with a graded Lie algebra, which corresponds to an extension of the gauge group. In this paper we show that the whole theory with six manifest supersymmetries can be naturally expressed in terms of such a graded Lie algebra. Also the Bagger, Lambert and Gustavsson theory with eight supersymmetries is included as a special case.

Jordan triple systems

string/M theory

3d conformal theories


Bengt E W Nilsson

Chalmers, Applied Physics, Mathematical Physics

Jakob Palmkvist

Chalmers, Applied Physics, Mathematical Physics

Classical and Quantum Gravity

0264-9381 (ISSN) 13616382 (eISSN)

Vol. 26 7 Article Number: 075007 - 075007

Subject Categories

Subatomic Physics



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