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On topological M-theory
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
2006 (English)In: Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, E-ISSN 1095-0753, Vol. 10, no 2, 239-260 p.Article in journal (Refereed) Published
Abstract [en]

We construct a gauge-fixed action for topological membranes on G2-manifolds such that its bosonic part is the standard membrane theory in a particular gauge. We prove that the path integral in this gauge localizes on associative submanifolds. Moreover on M × S1, 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 G2-manifolds. We also generalize our construction to topological p-branes on special manifolds by exploring a relation between vector cross product structures and TFTs.

Place, publisher, year, edition, pages
2006. Vol. 10, no 2, 239-260 p.
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-20248ISI: 000240766700004OAI: oai:DiVA.org:uu-20248DiVA: diva2:48021
Available from: 2006-12-06 Created: 2006-12-06 Last updated: 2011-06-15Bibliographically approved

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Zabzine, Maxim
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