Holographic non-Fermi liquids at large d

Abstract

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