Exact rotating membrane solutions on aG2manifold and their semiclassical limits
Author(s) -
P. Bozhilov
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/03/001
Subject(s) - semiclassical physics , holonomy , manifold (fluid mechanics) , lift (data mining) , physics , mathematical physics , invariant manifold , gauge theory , field theory (psychology) , string field theory , field (mathematics) , metric (unit) , string (physics) , mathematics , theoretical physics , quantum mechanics , mathematical analysis , pure mathematics , quantum , computer science , mechanical engineering , engineering , data mining , operations management , economics
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
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