Abstract
We explore similarities between the process of relaxation in the BMN matrix model and the physics of black holes in AdS/CFT. Focusing on Dyson-fluid solutions of the matrix model, we perform numerical simulations of the real time dynamics of the system. By quenching the equilibrium distribution we study quasi-normal oscillations of scalar single trace observables, we isolate the lowest quasi-normal mode, and we determine its frequencies as function of the energy. Considering the BMN matrix model as a truncation of \( \mathcal{N}=4 \) SYM, we also compute the frequencies of the quasi-normal modes of the dual scalar fields in the AdS5-Schwarzschild background. We compare the results, and we finda surprising similarity.
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Aprile, F., Sanfilippo, F. Quasi-normal modes from non-commutative matrix dynamics. J. High Energ. Phys. 2017, 48 (2017). https://doi.org/10.1007/JHEP09(2017)048
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DOI: https://doi.org/10.1007/JHEP09(2017)048