Topological Twisting of Multiple M2-brane Theory
Abstract
Bagger-Lambert-Gustavsson theory with infinite dimensional gauge group has been suggested to describe M5-brane as a condensation of multiple M2-branes. Here we perform a topological twisting of the Bagger-Lambert-Gustavsson theory. The original SO(8) R-symmetry is broken to SO(3)XSO(5), where the former may be interpreted as a diagonal subgroup of the Euclidean M5-brane world-volume symmetry SO(6), while the latter is the isometry of the transverse five directions. Accordingly the resulting action contains an one-form and five scalars as for the bosonic dynamical fields. We further lift the action to a generic curved three manifold. In order to make sure the genuine topological invariance, we construct an off-shell formalism such that the scalar supersymmetry transformations are nilpotent strictly off-shell and independent of the metric of the three manifold. The one loop partition function around a trivial background yields the Ray-Singer torsion. The BPS equation involves an M2-brane charge density given by a Nambu-Goto action defined in an internal three-manifold.
Cite
@article{arxiv.0809.2924,
title = {Topological Twisting of Multiple M2-brane Theory},
author = {Kanghoon Lee and Sangmin Lee and Jeong-Hyuck Park},
journal= {arXiv preprint arXiv:0809.2924},
year = {2008}
}
Comments
20 pages, no figure; Refs added, minor improvement, to appear in JHEP