Non-commutative $AdS_2/CFT_1$ duality: the case of massless scalar fields

Understand

We show how to construct correlators for the $CFT_1$ which is dual to non-commutative $AdS_2$ ($ncAdS_2$).

• We do it explicitly for the example of the massless scalar field on Euclidean $ncAdS_2$.
• $ncAdS_2$ is the quantization of $AdS_2$ that preserves all the isometries.
• It is described in terms of the unitary irreducible representations, more specifically discrete series representations, of $so(2,1)$.