Published September 2002 | Published
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G-flux, supersymmetry and Spin(7) manifolds

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Abstract

In this note we study warped compactifications of M-theory on manifolds of Spin(7) holonomy in the presence of background 4-form flux. The explicit expression for the superpotential can be given in terms of the self-dual Cayley calibration on the Spin(7) manifold, in agreement with the general formula proposed in hep-th/9911011.

Additional Information

© Institute of Physics 2002 Received 25 July 2002, accepted for publication 20 September 2002, Published 4 November 2002 We would like to thank P. Candelas, D. Joyce, J. Sparks, and E. Witten for useful discussions. This research was partially conducted during the period S.G. served as a Clay Mathematics Institute Long-Term Prize Fellow. The work of S.G. is also supported in part by grant RFBR No. 01-02-17488, and the Russian President's grant No. 00-15-99296. E-print number: hep-th/0201227

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