We construct a gauge-fixed action for topological membranes on G 2-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 × 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.

On topological M theory / Bonelli, G.; Tanzini, A.; Zabzine, M.. - In: ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS. - ISSN 1095-0761. - 10:2(2006), pp. 239-260. [10.4310/ATMP.2006.v10.n2.a4]

On topological M theory

Bonelli, G.;Tanzini, A.;
2006-01-01

Abstract

We construct a gauge-fixed action for topological membranes on G 2-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 × 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.
2006
10
2
239
260
https://projecteuclid.org/euclid.atmp/1154236304
Bonelli, G.; Tanzini, A.; Zabzine, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13733
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