  Field theories in black hole spacetimes undergo dimensional reduction near
horizon (in the Rindler limit) to two dimensional conformal field theories. We
investigate this enhancement of symmetries in the context of gauge/gravity
duality by considering Rindler space as boundary of Anti-de Sitter space in
three spacetime dimensions. We show that the loxodromy conjugacy class of the
SO(2,2) isometry group is responsible for generating the special conformal
transformations on the boundary under RG flow. We use this approach to present
an alternative derivation of the two-point function in Rindler space using
AdS/CFT correspondence.
