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Calibrated geometries and non-perturbative superpotentials in M-theory

  • R. Hernández
Theoretical physics

Abstract.

We consider non-perturbative effects in M-theory compactifications on a seven-manifold of \(G_2\) holonomy arising from membranes wrapped on supersymmetric three-cycles. When membranes are wrapped on associative submanifolds they induce a superpotential that can be calculated using calibrated geometry. This superpotential is also derived from compactification on a seven-manifold, to four dimensional anti-de Sitter spacetime, of eleven dimensional supergravity with non-vanishing expectation value of the four-form field strength.

Keywords

Field Strength Sitter Spacetime Eleven Dimensional Supergravity Dimensional Supergravity Associative Submanifolds 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • R. Hernández
    • 1
  1. 1.The Abdus Salam International Center for Theoretical Physics, Strada Costiera, 11. 34014 Trieste, Italy IT

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