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Paper IPM / Physic / 14698  


Abstract:  
Recently holographic prescriptions are proposed to compute quantum complexity of a given state in the boundary theoryâ. âA specific proposal known as `holographic subregion complexity' is supposed to calculate the complexity of a reduced density matrix corresponding to a static subregionâ. 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 surfacesâ. âWe find that there is new universal termsâ, âlogarithmic in the UV cutoffâ, âdue to the singularities of a family of surfaces including a kink in (2+1)dimension and cones in even dimensional field theoriesâ. âWe also find examples of new divergent terms such as squared logarithm and negative powers times the logarithm of the UV cutoff parameterâ.
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