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Basic aspects of the AdS/CFT correspondence are studied in the framework of3-dimensional gravity with torsion. After choosing a consistent holographicansatz, we formulate an improved approach to the Noether--Ward identities forthe boundary theory. The method is applied first to the topologicalMielke--Baekler model, and then to the more interesting (parity-preserving)3-dimensional gravity with propagating torsion. In both cases, we find thefinite holographic energy-momentum and spin currents and obtain the associated(anomalous) Noether--Ward identities.

Holography in 3D AdS gravity with torsion