Topological Twisting of Multiple M2-brane Theory

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dc.creatorLee, Kanghoon
dc.creatorLee, Sangmin
dc.creatorPark, Jeong-Hyuck
dc.date2008-09-17
dc.date2008-10-21
dc.date.accessioned2026-07-07T11:45:49Z
dc.date.available2026-07-07T11:45:49Z
dc.descriptionBagger-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.
dc.description20 pages, no figure; Refs added, minor improvement, to appear in JHEP
dc.identifierhttps://arxiv.org/abs/0809.2924
dc.identifierhttp://arxiv.org/abs/0809.2924
dc.identifierJHEP0811:014,2008
dc.identifierdoi:10.1088/1126-6708/2008/11/014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202012
dc.subjectHigh Energy Physics - Theory
dc.titleTopological Twisting of Multiple M2-brane Theory
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