On relating multiple M2 and D2-branes
Abstract
Due to the difficulties of finding superconformal Lagrangian theories for multiple M2-branes, we will in this paper instead focus on the field equations. By relaxing the requirement of a Lagrangian formulation we can explore the possibility of having structure constants satisfying the fundamental identity but which are not totally antisymmetric. We exemplify this discussion by making use of an explicit choice of a non-antisymmetric constructed from the Lie algebra structure constants of an arbitrary gauge group. Although this choice of does not admit an obvious Lagrangian description, it does reproduce the correct SYM theory for a stack of D2-branes to leading order in upon reduction and, moreover, it sheds new light on the centre of mass coordinates for multiple M2-branes.
Keywords
Cite
@article{arxiv.0804.1784,
title = {On relating multiple M2 and D2-branes},
author = {Ulf Gran and Bengt E. W. Nilsson and Christoffer Petersson},
journal= {arXiv preprint arXiv:0804.1784},
year = {2009}
}
Comments
9 pages, references added and statements concerning the fundamental identity revised