M-Theory Superalgebra From Multiple Membranes
Kazuyuki Furuuchi, Sheng-Yu Darren Shih, Tomohisa Takimi
TL;DR
This paper derives the M-theory superalgebra from multiple M2-brane models, revealing additional symmetries and implications for five-branes, advancing understanding of M-theory's algebraic structure.
Contribution
It constructs a significant portion of the eleven-dimensional super-Poincaré algebra from the Bagger-Lambert-Gustavsson model, highlighting the role of central elements in Lie 3-algebras.
Findings
Derived space-time superalgebra with central extensions.
Identified extra fermionic symmetry related to central elements.
Discussed implications for transverse five-branes in M-theory.
Abstract
We investigate space-time supersymmetry of the model of multiple M2-branes proposed by Bagger-Lambert and Gustavsson. When there is a central element in Lie 3-algebra, the model possesses an extra symmetry shifting the fermions in the central element. Together with the original worldvolume supersymmetry transformation, we construct major part of the eleven dimensional space-time super-Poincar\'{e} algebra with central extensions. Implications to transverse five-branes in the matrix model for M-theory are also discussed.
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