Uplifting the Iwasawa

Details Uplifting the Iwasawa Uplifting the Iwasawa

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005aipc..805..370m&link_type=abstract

PARTICLES, STRINGS, AND COSMOLOGY: 11th International Symposium on Particles, Strings, and Cosmology; PASCOS 2005. AIP Conferen

Physics

M Theory

Scientific paper

The Iwasawa manifold is uplifted to seven-folds of either G2 holonomy or SU(3) structure, explicit new metrics for the same having been constructed in this work. We uplift the Iwasawa manifold to a G2 manifold through ``size'' deformation (of the Iwasawa metric), via Hitchin's flow equations. Using results of [1], we also uplift the Iwasawa manifold to a seven-fold with SU(3) structure through ``size'' and ``shape'' deformations via generalisation of Hitchin's flow equations. For seven-folds with SU(3)-structure, the result could be interpreted as M5-branes wrapping two-cycles embedded in the seven-fold (as in [1]) - a warped product of either a special hermitian six-fold or a balanced six-fold with an interval.

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