English

Constraining Maximally Supersymmetric Membrane Actions

High Energy Physics - Theory 2014-11-18 v3

Abstract

We study the recent construction of maximally supersymmetric field theory Lagrangians in three spacetime dimensions that are based on algebras with a triple product. Assuming that the algebra has a positive definite metric compatible with the triple product, we prove that the only non-trivial examples are either the well known case based on a four dimensional algebra or direct sums thereof.

Keywords

Cite

@article{arxiv.0804.3078,
  title  = {Constraining Maximally Supersymmetric Membrane Actions},
  author = {Jerome P. Gauntlett and Jan B. Gutowski},
  journal= {arXiv preprint arXiv:0804.3078},
  year   = {2014}
}

Comments

11 pages, very minor changes. Reference added. Version to be published in JHEP

R2 v1 2026-06-21T10:32:40.007Z