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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 1: Quantum Information and Complexity

MP 1.3: Talk

Monday, March 19, 2018, 17:15–17:35, Z6 - SR 1.012

Discrete scale invariance in holography revisited — •Mario Flory — Institute of Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland

In 2013, K. Balasubramanian presented a 5+1 dimensional holographic toy model that allows for an exact solution to Einstein’s equations in the bulk in which the isometries of AdS₅ appear to be broken to an isometry group describing a discretely scale invariant and Poincaré invariant setup. We investigate this solution in more detail. By analytically solving the Killing equations, we prove that the full AdS₅ isometry group is still present, although in a somewhat hidden way. We will also comment on the prospects of finding other holographic models which allow for solutions with discrete scale invariance or scale invariance without conformal invariance in the future.