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M2-branes, 3-Lie Algebras and Plucker relations
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abstract
We find that the structure constants 4-form of a metric 3-Lie algebra is the sum of the volume forms of orthogonal 4-planes proving a conjecture in math/0211170. In particular, there is no metric 3-Lie algebra associated to a $\mathfrak{u}(N)$ Lie algebra for $N>2$. We examine the implication of this result on the existence of a multiple M2-brane theory based on metric 3-Lie algebras.
Forward citations
Cited by 2 Pith papers
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A Matrix Theory Construction of the IIA/IIB Wall
A lightlike IIA/IIB domain wall is constructed at zero string coupling by gauging (−1)^{F_L} in matrix string theory, turning BPS IIA D0-branes into non-BPS IIB D0-branes.
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(2,0) Lagrangian Structures
A Lorentz invariant Lagrangian for the abelian (2,0) tensor supermultiplet is constructed by adding a self-dual three-form that decouples as a supersymmetry singlet, with an exploratory non-abelian generalization.
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