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Computing amplitudes in topological M-theory
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
2007 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 3, 023- p.Article in journal (Refereed) Published
Abstract [en]

We define a topological quantum membrane theory on a seven dimensionalmanifold of G2 holonomy. We describe in detail the path integral evaluation for membranegeometries given by circle bundles over Riemann surfaces. We show that when the targetspace is CY3 × S 1 quantum amplitudes of non-local observables of membranes wrappingthe circle reduce to the A-model amplitudes. In particular for genus zero we show thatour model computes the Gopakumar-Vafa invariants. Moreover, for membranes wrappingcalibrated homology spheres in the CY3 , we find that the amplitudes of our model arerelated to Joyce invariants.

Place, publisher, year, edition, pages
2007. no 3, 023- p.
Keyword [en]
Topological Field Theories, Topological Strings, M-Theory.
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-13770DOI: 10.1088/1126-6708/2007/03/023ISI: 000245922000023OAI: oai:DiVA.org:uu-13770DiVA: diva2:41540
Available from: 2008-01-25 Created: 2008-01-25 Last updated: 2011-02-03Bibliographically approved

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