Holographic subregion complexity for singular surfaces
Elaheh Bakhshaei (Department of Physics, Isfahan University of Technology, Isfahan, Iran); Ali Mollabashi (School of Physics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran); Ahmad Shirzad (School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran, Department of Physics, Isfahan University of Technology, Isfahan, Iran)
Recently holographic prescriptions were proposed to compute the quantum complexity of a given state in the boundary theory. A specific proposal known as ‘holographic subregion complexity’ is supposed to calculate the complexity of a reduced density matrix corresponding to a static subregion. We study different families of singular subregions in the dual field theory and find the divergence structure and universal terms of holographic subregion complexity for these singular surfaces. We find that there are new universal terms, logarithmic in the UV cut-off, due to the singularities of a family of surfaces including a kink in (2 + 1) dimensions and cones in even dimensional field theories. We also find examples of new divergent terms such as squared logarithm and negative powers times the logarithm of the UV cut-off parameter.
