Topological M-theory as Unification of Form Theories of Gravity

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dc.creatorDijkgraaf, Robbert
dc.creatorGukov, Sergei
dc.creatorNeitzke, Andrew
dc.creatorVafa, Cumrun
dc.date2004-11-05
dc.date2005-04-12
dc.date.accessioned2026-07-07T10:50:25Z
dc.date.available2026-07-07T10:50:25Z
dc.descriptionWe introduce a notion of topological M-theory and argue that it provides a unification of form theories of gravity in various dimensions. Its classical solutions involve G_2 holonomy metrics on 7-manifolds, obtained from a topological action for a 3-form gauge field introduced by Hitchin. We show that by reductions of this 7-dimensional theory one can classically obtain 6-dimensional topological A and B models, the self-dual sector of loop quantum gravity in 4 dimensions, and Chern-Simons gravity in 3 dimensions. We also find that the 7-dimensional M-theory perspective sheds some light on the fact that the topological string partition function is a wavefunction, as well as on S-duality between the A and B models. The degrees of freedom of the A and B models appear as conjugate variables in the 7-dimensional theory. Finally, from the topological M-theory perspective we find hints of an intriguing holographic link between non-supersymmetric Yang-Mills in 4 dimensions and A model topological strings on twistor space.
dc.description65 pages, 2 figures, harvmac; v2: references added, small corrections/clarifications
dc.identifierhttps://arxiv.org/abs/hep-th/0411073
dc.identifierhttp://arxiv.org/abs/hep-th/0411073
dc.identifierAdv.Theor.Math.Phys.9:603-665,2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184528
dc.subjectHigh Energy Physics - Theory
dc.titleTopological M-theory as Unification of Form Theories of Gravity
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