Complexity for Systems with Defects

          @misc{ scivideos_PIRSA:19080059,
            doi = {10.48660/19080059},
            url = {https://pirsa.org/19080059},
            author = {Chapman, Shira},
            keywords = {Quantum Matter, Quantum Fields and Strings, Quantum Information},
            language = {en},
            title = {Complexity for Systems with Defects},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2019},
            month = {aug},
            note = {PIRSA:19080059 see, \url{https://scivideos.org/index.php/pirsa/19080059}}
          }
          

Abstract

I will start by reviewing the definition and properties of complexity as well as the relevant holographic proposals. I will then describe the results of [1811.12549] where we studied the two holographic complexity proposals for the case of a 2d boundary CFT with a conformal defect using a Randall-Sundrum type model of a thin AdS_2 brane embedded in AdS_3. Our results indicate that this setup can be used to distinguish the two holographic proposals for the complexity. I will also describe results for simple free bosonic field theory models which include two defects on opposite sides of a periodic domain.