Fluxes in M-theory on 7-manifolds andGstructures | Zendy

Klaus Behrndt | Zendy; Claus Jeschek | Zendy

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Fluxes in M-theory on 7-manifolds andGstructures

Author(s) -

Klaus Behrndt,

Claus Jeschek

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/04/002

Subject(s) - manifold (fluid mechanics) , spinor , killing vector field , space (punctuation) , killing spinor , supersymmetry , pure mathematics , m theory , physics , mathematics , mathematical physics , supergravity , computer science , mechanical engineering , engineering , operating system

We consider warp compactifications of M-theory on 7-manifolds in the presenceof 4-form fluxes and investigate the constraints imposed by supersymmetry. Aslong as the 7-manifold supports only one Killing spinor we infer from theKilling spinor equations that non-trivial 4-form fluxes will necessarily curvethe external 4-dimensional space. On the other hand, if the 7-manifold has atleast two Killing spinors, there is a non-trivial Killing vector yielding areduction of the 7-manifold to a 6-manifold and we confirm that 4-form fluxescan be incorporated if one includes non-trivial SU(3) structures.Comment: 13 pages, Latex; minor changes & add reference

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