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Kac-Moody Extensions of 3-Algebras and M...
Lin, Hai...

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Kac-Moody Extensions of 3-Algebras and M2-branes by Lin, Hai ( Author )
Lemonjar Open Access
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26-05-2008
We study the 3-algebraic structure involved in the recently shown M2-branes worldvolume gauge theories. We first extend an arbitrary finite dimensional 3-algebra into an infinite dimensional 3-algebra by adding a mode number to each generator. A unique central charge in the algebra of gauge transformations appears naturally in this extension. We present an infinite dimensional extended 3-algebra with a general metric and also a different extension with a Lorentzian metric. We then study ordinary finite dimensional 3-algebras with different signatures of the metric, focusing on the cases with a negative eigenvalue and the cases with a zero eigenvalue. In the latter cases we present a new algebra, whose corresponding theory is a decoupled abelian gauge theory together with a free theory with global gauge symmetry, and there is no negative kinetic term from this algebra.
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Article
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English
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MYR 0.00
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https://arxiv.org/abs/0805.4003
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