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arXiv · 1208.1232

SL(5) duality from canonical M2-brane

Machiko Hatsuda·Kiyoshi Kamimura
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Abstract

We show how the SL(5) duality in M-theory is explained from a canonical analysis of M2-brane mechanics. Diffeomorphism constraints for a M2-brane coupled to supergravity background in d=4 are reformulated in a SL(5) covariant form, in which spatial diffeomorphism constraints are recast into a SL(5) vector and the generalized metric in the Hamiltonian constraint is quartic in the SL(5) generalized vielbein. The Hamiltonian for a M2 brane has the SL(5) duality symmetry in a background dependent gauge.

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Machiko Hatsuda, Kiyoshi Kamimura. 2012-08-06. SL(5) duality from canonical M2-brane. https://doi.org/10.1007/jhep11(2012)001

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