English

Unifying N=5 and N=6

High Energy Physics - Theory 2011-07-12 v2 Quantum Algebra

Abstract

We write the Lagrangian of the general N=5 three-dimensional superconformal Chern-Simons theory, based on a basic Lie superalgebra, in terms of our recently introduced N=5 three-algebras. These include N=6 and N=8 three-algebras as special cases. When we impose an antisymmetry condition on the triple product, the supersymmetry automatically enhances, and the N=5 Lagrangian reduces to that of the well known N=6 theory, including the ABJM and ABJ models.

Keywords

Cite

@article{arxiv.1103.4860,
  title  = {Unifying N=5 and N=6},
  author = {Jakob Palmkvist},
  journal= {arXiv preprint arXiv:1103.4860},
  year   = {2011}
}

Comments

19 pages. v2: Published version. Minor typos corrected, references added

R2 v1 2026-06-21T17:44:14.739Z