English

SL(5) duality from canonical M2-brane

High Energy Physics - Theory 2015-06-11 v3

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.

Keywords

Cite

@article{arxiv.1208.1232,
  title  = {SL(5) duality from canonical M2-brane},
  author = {Machiko Hatsuda and Kiyoshi Kamimura},
  journal= {arXiv preprint arXiv:1208.1232},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T21:46:57.463Z