We generalize the Maldacena correspondence to the logarithmic conformal field theories. We study the correspondence between field theories in (d+1)-dimensional AdS space and the d-dimensional logarithmic conformal field theories in the boundary of AdS d+1 . Using this correspondence, we get the n-point functions of the corresponding logarithmic conformal field theory in d-dimensions.
We present an alternative 2-parametric deformation GL(2) h,h ′ , and construct the differential calculus on the quantum plane on which this quantum group acts.Also we give a new deformation of the two dimensional Heisenberg algebra.
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