Probing the singularity at the holographic screen via q-holography

A

bstract

We study the emergence of q -deformed spacetime in a lower-dimensional gravitational system whose asymptotic region geometrizes the global symmetry of a q -deformed CFT. More precisely, we consider the 2d sinh dilaton gravity model, whose classical metric solutions exhibit a curvature singularity at the holographic boundary. Our aim is to probe this UV near-boundary regime by injecting a small probe into the bulk, and identifying the geometrical features it observes. At the level of the two-point correlator, we see the emergence of q -deformed hyperbolic disk isometries. By formulating DSSYK in terms of the analogous sine dilaton gravity model, we expect this q -deformed holographic duality to persist.