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Paper   IPM / Physic / 14698
School of Physics
  Title:   Holographic Subregion Complexity for Singular Surfaces
1.  E. Bakhshaei
2.  A. Mollabashi
3.  A. Shirzad
  Status:   Preprint
  Year:  2017
  Supported by:  IPM
Recently holographic prescriptions are proposed to compute 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 is new universal terms‎, ‎logarithmic in the UV cut-off‎, ‎due to the singularities of a family of surfaces including a kink in (2+1)-dimension 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.

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