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arXiv · 2507.13873

Probing the singularity at the holographic screen via $q$-holography

Andreas Belaey·Thomas G. Mertens·Jacopo Papalini
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Abstract

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.

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Andreas Belaey, Thomas G. Mertens, Jacopo Papalini. 2025-07-18. Probing the singularity at the holographic screen via $q$-holography. https://doi.org/10.1007/jhep08(2026)139

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