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| Paper IPM / P / 11224 |
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| Abstract: | |||||||
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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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