Mobility edge and Black Hole Horizon

Abstract

We conjecture that the mobility edge in the 4D Euclidean Dirac operator spectrum in QCD in the deconfined phase found in the lattice studies corresponds to the near black hole (BH) horizon region in the holographic dual. We present some evidences both from the field theory side and from the worldsheet theory of long open string.

Comments: 14 pages,talk given at Quarks-2018,contribution to Proceedings