The Supermembrane with Central Charges on a G2 Manifold

Belhaj, A.; Garcia del Moral, M. P.; Restuccia, A.; Segui, A.; Veiro, J. P.

doi:10.1088/1751-8113/42/32/325201

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The Supermembrane with Central Charges on a G2 Manifold

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Restuccia, A.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0803.1827v1.pdf
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JPA_42_325201.pdf
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Citation

Belhaj, A., Garcia del Moral, M. P., Restuccia, A., Segui, A., & Veiro, J. P. (2009). The Supermembrane with Central Charges on a G2 Manifold. Journal of Physics A, 42(32): 325201. doi:10.1088/1751-8113/42/32/325201.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-6000-F

Abstract

We construct the 11D supermembrane with topological central charges induced through an irreducible winding on a G2 manifold realized from the T7/Z2xZ2xZ2 orbifold construction. The hamiltonian H of the theory on a T7 target has a discrete spectrum. Within the discrete symmetries of H associated to large diffeomorphisms, the Z2xZ2xZ2 group of automorphisms of the quaternionic subspaces preserving the octonionic structure is relevant. By performing the corresponding identification on the target space, the supermembrane may be formulated on a G2 manifold, preserving the discretness of the spectrum. The corresponding 4D low energy effective field theory has N=1 supersymmetry.