English

On multiple M2-brane model(s) and its N=8 superspace formulation(s)

High Energy Physics - Theory 2010-04-14 v2 General Relativity and Quantum Cosmology

Abstract

We give a brief review of Bagger-Lambert-Gustavsson (BLG) model, with emphasis on its version invariant under the volume preserving diffeomorphisms (SDiff3) symmetry. We describe the on-shell superfield formulation of this SDiff3 BLG model in standard N=8, d=3 superspace, as well as its superfield action in the pure spinor N=8 superspace. We also briefly address the Aharony-Bergman-Jafferis-Maldacena (ABJM/ABJ) model invariant under SU(M)k×SU(N)kSU(M)_{k}\times SU(N')_{-k} gauge symmetry, and discuss the possible form of their N=6 and, for the case of Chern-Simons level k=1,2, N=8 superfield equations.

Keywords

Cite

@article{arxiv.0912.1741,
  title  = {On multiple M2-brane model(s) and its N=8 superspace formulation(s)},
  author = {Igor A. Bandos},
  journal= {arXiv preprint arXiv:0912.1741},
  year   = {2010}
}

Comments

10 pages, no figures, Contribution to the "Selected Topics in Mathematical and Particle Physics Prague 2009". Procs. of the Conference on the occasion of Prof. Jiri Niederle 70th birthday. V.2: misprints corrected, to appear in Acta Policecnica.

R2 v1 2026-06-21T14:21:39.706Z