Corner contributions to holographic quantum complexity

by Dr Ming-lei Xiao (University of Texas at Austin)

Tuesday 25 Jul 2017, 10:30 → 11:30 Asia/Shanghai

B105 (CHEP)

A brand new holographic relation, holographic quantum complexity, was proposed to explain the property of black hole interior. Although a working definition is still not well established on the field theory side, people have been studying this holographic relation from various aspects, including the so-called subregion complexity. It is supposed to describe how “hard” it is to bring the density matrix from some reference state to a given state by quantum computing. I will review some recent studies on subregion complexity, and show some interesting new results about its UV divergence structure. In particular, 3d kink shape subregion on the boundary is studied, and universal contributions from the cusp is found.