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Marginal deformations with U(1)3global symmetry
Author(s) -
Changhyun Ahn,
Justin F. Vázquez-Poritz
Publication year - 2005
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 - 10.1088/1126-6708/2005/07/032
Subject(s) - supergravity , einstein , homogeneous space , mathematical physics , physics , space (punctuation) , symmetry (geometry) , deformation (meteorology) , mathematics , pure mathematics , geometry , supersymmetry , linguistics , philosophy , meteorology
We generate new 11-dimensional supergravity solutions from deformations basedon U(1)^3 symmetries. The initial geometries are of the form AdS_4 x Y_7, whereY_7 is a 7-dimensional Sasaki-Einstein space. We consider a general family ofcohomogeneity one Sasaki-Einstein spaces, as well as the recently-constructedcohomogeneity three L^{p,q,r,s} spaces. For certain cases, such as when theSasaki-Einstein space is S^7, Q^{1,1,1} or M^{1,1,1}, the deformed gravitysolutions correspond to a marginal deformation of a known dual gauge theory.Comment: 28pp; Refs. added and to appear in JHE

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