Exact rotating membrane solutions on a G_2 manifold and their semiclassical limits

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 31 pages, no figures; V2: references added; V3: 34 pages; explanations, comments, acknowledgments and references added;

Scientific paper

10.1088/1126-6708/2006/03/001

We obtain exact rotating membrane solutions and explicit expressions for the conserved charges on a manifold with exactly known metric of G_2 holonomy in M-theory, with four dimensional N=1 field theory dual. After that, we investigate their semiclassical limits and derive different relations between the energy and the other conserved quantities, which is a step towards M-theory lift of the semiclassical string/gauge theory correspondence for N=1 field theories.

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