• DOI:10.1088/1126-6708/2008/11/014
• Corpus ID: 8741649

Topological Twisting of Multiple M2-brane Theory

@article{Lee2008TopologicalTO,
  title={Topological Twisting of Multiple M2-brane Theory},
  author={Kanghoon Lee and Sangmin Lee and Jeong-Hyuck Park},
  journal={Journal of High Energy Physics},
  year={2008},
  volume={2008},
  pages={014-014}
}

• Kanghoon Lee, Sangmin Lee, Jeong-Hyuck Park
• Published 17 September 2008
• Mathematics
• Journal of High Energy Physics

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) × SO(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 supersymmetric 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.