SL(5) duality from canonical M2-brane
Machiko Hatsuda, Kiyoshi Kamimura
TL;DR
This paper demonstrates how SL(5) duality symmetry in M-theory can be derived from a canonical analysis of M2-brane mechanics, reformulating constraints in an SL(5) covariant manner.
Contribution
It provides a novel canonical formulation of M2-brane dynamics that explicitly exhibits SL(5) duality symmetry in a background-dependent gauge.
Findings
Reformulation of diffeomorphism constraints into SL(5) vectors
Generalized metric becomes quartic in SL(5) generalized vielbein
Hamiltonian exhibits SL(5) duality symmetry
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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