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We obtain exact rotating membrane solutions and explicit expressions for theconserved charges on a manifold with exactly known metric of G_2 holonomy inM-theory, with four dimensional N=1 field theory dual. After that, weinvestigate their semiclassical limits and derive different relations betweenthe energy and the other conserved quantities, which is a step towards M-theorylift of the semiclassical string/gauge theory correspondence for N=1 fieldtheories.Comment: LaTeX, 31 pages, no figures; V2: references added; V3: 34 pages;  explanations, comments, acknowledgments and references added; V4: final  version, to appear in JHE

Exact rotating membrane solutions on aG2manifold and their semiclassical limits

Exact rotating membrane solutions on aG₂manifold and their semiclassical limits