“School of Physic”
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Paper IPM / Physic / 11224  


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
NewtonCartan like limit of the Einstein's equations of AdS space
which singles out an AdS_{n+2} spacetime. The infinite dimensional
extension of n=0,1 cases may be understood from the fact that the
dual gravities contain AdS_{2} and AdS_{3} factor, respectively. We
also explore how the AdS/CFT correspondence works for this case
where we see that the main role is playing by AdS_{n+2} base
geometry.
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