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  The Minimally Immersed 4D Supermembrane

del Moral, M. P. G., Pena, J. M., & Restuccia, A. (2008). The Minimally Immersed 4D Supermembrane. Fortschritte der Physik - Progress of Physics, 56(7-9), 915-921. doi:10.1002/prop.200810548.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-6D99-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-6D9B-D
Genre: Conference Paper

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FdP.56.7_9.pdf (Publisher version), 149KB
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del Moral, M. P. Garcia1, Author
Pena, J. M.1, Author
Restuccia, A.2, Author
Affiliations:
1External Organizations, ou_persistent22              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24014              

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Free keywords: hep-th
 Abstract: n this note we summarize some of the properties found in [1], and its relation with [2]. We comment on the construction of the action of the 11D supermembrane with nontrivial central charges minimally immersed on a 7D toroidal manifold is obtained (MIM2).The transverse coordinates to the supermembrane are maps to a 4D Minkowski space-time. The action is invariant under additional symmetries in comparison to the supermembrane on a 11D Minkowski target space. The hamiltonian in the LCG is invariant under conformal transformations on the Riemann surface base manifold. The spectrum of the regularized hamiltonian is discrete with finite multiplicity. Its resolvent is compact. Susy is spontaneously broken, due to the topological central charge condition, to four supersymmetries in 4D, the vacuum belongs to an N=1 supermultiplet. When assuming the target-space to be an isotropic 7-tori, the potential does not contain any flat direction, it is stable on the moduli space of parameters. Moreover due to the discrete symmetries of the hamiltonian, there are only 7 possible minimal holomorphic immersions of the MIM2 on the 7-torus. When these symmetries are identified on the target space, it corresponds to compactify the MIM2 on a orbifold with G2 structure. Once the singularities are resolved it leads to the compactification of the MIM2 on a G2 manifold as shown in [2].

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Language(s): eng - English
 Dates: 2008-07-23
 Publication Status: Published online
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1002/prop.200810548
eDoc: 354865
arXiv: 0803.3385
 Degree: -

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Title: 3rd RTN Workshop on Constituents, Fundamental Forces Symetries of the Universe
Place of Event: Valencia, SPAIN
Start-/End Date: 2007-10-05 - 2007-10-05

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Title: Fortschritte der Physik - Progress of Physics
Source Genre: Journal
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Pages: - Volume / Issue: 56 (7-9) Sequence Number: - Start / End Page: 915 - 921 Identifier: ISSN: 0015-8208