On topological M-theory

dc.creatorBonelli, Giulio
dc.creatorTanzini, Alessandro
dc.creatorZabzine, Maxim
dc.date2005-09-22
dc.date2005-09-29
dc.date.accessioned2026-07-07T06:30:13Z
dc.date.available2026-07-07T06:30:13Z
dc.descriptionWe construct a gauge fixed action for topological membranes on $G_2$-manifold such that its bosonic part is the standard membrane theory in a particular gauge. We prove that quantum mechanically the path-integral in this gauge localizes on associative submanifolds. Moreover on $M\times S^1$ the theory naturally reduces to the standard A-model on Calabi-Yau manifold and to a membrane theory localized on special Lagrangian submanifolds. We discuss some properties of topological membrane theory on $G_2$-manifolds. We also generalize our construction to topological $p$--branes on special manifolds by exploring a relation between vector cross product structures and TFTs.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0509175
dc.identifierhttp://arxiv.org/abs/hep-th/0509175
dc.identifierAdv.Theor.Math.Phys. 10 (2006) 239-260
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98289
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleOn topological M-theory
dc.typetext

Files

Collections