English

On the Problem of Multiple M2 Branes

High Energy Physics - Theory 2009-12-04 v1

Abstract

A simplified version of 3d BL theory is considered, which allows any number N of M2 branes in d=11. The underlying 3-algebra structure is provided by degenerate U(N) Nambu bracket [X,Y,Z] = tr(X) [Y,Z] + tr(Y) [Z,X] + tr(Z) [X,Y], the corresponding f^{abcd} is not totally antisymmetric and extended supersymmetry of the action remains to be checked. All the fields, including auxiliary non-propagating gauge fields, are in adjoint representation of SU(N) and the only remnant of 3-algebra structure is an octuple of gauge singlets, acquiring vacuum expectation value in transition to D2 branes in d=10.

Keywords

Cite

@article{arxiv.0804.0913,
  title  = {On the Problem of Multiple M2 Branes},
  author = {A. Morozov},
  journal= {arXiv preprint arXiv:0804.0913},
  year   = {2009}
}

Comments

12 pages

R2 v1 2026-06-21T10:28:06.498Z