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Paper   IPM / P / 11224
School of Physics
  Title:   On AdS/CFT of Galilean Conformal Field Theories
  Author(s): 
1.  M. Alishahiha
2.  A. Davody
3.  A. Vahedi
  Status:   Published
  Journal: JHEP
  Vol.:  08
  Year:  2009
  Pages:   022
  Supported by:  IPM
  Abstract:
We study a new contraction of a d+1 dimensional relativistic conformal algebra where n+1 directions remain unchanged. For n=0,1 the resultant algebras admit infinite dimensional extension containing one and two copies of Virasoro algebra, respectively. For n > 1 the obtained algebra is finite dimensional containing an so(2,n+1) subalgebra. The gravity dual is provided by taking a Newton-Cartan like limit of the Einstein's equations of AdS space which singles out an AdSn+2 spacetime. The infinite dimensional extension of n=0,1 cases may be understood from the fact that the dual gravities contain AdS2 and AdS3 factor, respectively. We also explore how the AdS/CFT correspondence works for this case where we see that the main role is playing by AdSn+2 base geometry.

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