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Motivated by the results of Dynamical Mean Field Theory, we study thetwo-point function of fermions moving in a charged black brane background in$AdS_{d+1}$ in the limit of large $d$. We observe the emergence of a locallycritical form of the fermion self-energy, with a strongly constrained range ofpossible scaling behaviors at large $d$. Novelties compared to the analysis in$d=3,4$ include an enlarged regime of temperatures where the results apply, andthe analytical tractability of the calculations.

Holographic non-Fermi liquids at large $d$