Calibrated geometries and non-perturbative superpotentials in M-theory



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Hernández Redondo, Rafael (2001) Calibrated geometries and non-perturbative superpotentials in M-theory. European physical journal C, 18 (3). pp. 619-624. ISSN 1434-6044

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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.

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© Springer-Verlag Berlin Heidelberg 2000. It is a pleasure to thank E. Cáceres, A. Mukherjee, K. Narain and K. Ray for useful discussions, and T. Ali and G. Thompson for comments on the manuscript. This research is partly supported by the EC contract no. ERBFMRX-CT96-0090.

Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:45725
Deposited On:09 Mar 2018 09:43
Last Modified:09 Mar 2018 09:43

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