In this talk I will explain how gravity can be extracted from the IKKT matrix model.
IKKT is a non-perturbatively defined model of quantum gravity, which studies quantum dynamics of quantized (fuzzy) spacetimes, represented as matrix configurations.
I will explain how the weakly coupled regime of a 4d spacetime with fuzzy extra dimensions contains Einstein-Hilbert gravity at one-loop. In particular we can estimate the Newton constant from the geometry of the extra dimensions.
Furthermore, for a specific class of solutions of classical IKKT (and mass deformations), Covariant Cosmological Quantum Spacetimes, we study different mechanisms for dynamical stabilization of the extra dimensions.
Alessandro Manta (Vienna): Quantum Spacetimes and Gravity in IKKT matrix model
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- Manta_3_June_2025.pdf 220 KB
