SL(5) duality from canonical M2-brane

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.

13 pages; v2: comments and references added; v3: a reference corrected, version to appear on JHEP

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• Ramond-Ramond gauge fields in superspace with manifest T-duality
• Non-Abelian U-duality for membrane
• M5 algebra and SO(5,5) duality
• The Exceptional Sigma Model
• Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry
• Thermodynamics of massless particles in curved spacetime
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• On current algebras, generalised fluxes and non-geometry
• U-gravity : $\mathbf{SL}(N)$
• Currents, charges and algebras in exceptional generalised geometry
• Gauge Transformation of Double Field Theory for Open String
• Five-brane Current Algebras in Type II String Theories
• Perturbative F-theory 10-brane and M-theory 5-brane
• Brane Symmetries Revisited: Symmetries of Tensile and Tensionless Branes in Possibly Degenerate Metrics and their Manifestations