On AdS/CFT of Galilean Conformal Field Theories

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 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.