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Published November 1, 2000 | public
Journal Article Open

Compactifying M-theory to four dimensions

Abstract

We consider compactifications of M-theory to four-dimensional Minkowski space on seven-dimensional non-compact manifolds. These compactifications include a warp factor which is non constant due to the presence of sources coming from five-branes wrapping two-dimensional submanifolds of the internal seven-dimensional space. We derive the expression for the field strengths and consider an explicit example of this general class of solutions.

Additional Information

Received 10 November 2000, accepted for publication 21 November 2000, Published 8 January 2001 It is a pleasure to thank H. Verlinde and especially E. Witten for discussions and for bringing ref. [17] to our attention. We also would like to thank A. Strominger for discussions on warped compactifications some time ago. This work was supported by the U.S. Department of Energy under grant DE-FG03-92-ER40701.

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