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- W3103378553 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." @default.
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- W3103378553 date "2009-03-02" @default.
- W3103378553 modified "2023-09-26" @default.
- W3103378553 title "Superconformal M2-branes and generalized Jordan triple systems" @default.
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- W3103378553 doi "https://doi.org/10.1088/0264-9381/26/7/075007" @default.
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