Abstract

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 the 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 renormalization group flow. We use this approach to present an alternative derivation of the two-point function in Rindler space using AdS/CFT correspondence.

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