A new perspective on holographic entanglement


Headrick, M. (2016). A new perspective on holographic entanglement. Perimeter Institute. https://pirsa.org/16070011


Headrick, Matthew. A new perspective on holographic entanglement. Perimeter Institute, Jul. 18, 2016, https://pirsa.org/16070011


          @misc{ pirsa_PIRSA:16070011,
            doi = {10.48660/16070011},
            url = {https://pirsa.org/16070011},
            author = {Headrick, Matthew},
            keywords = {Quantum Fields and Strings, Quantum Gravity, Quantum Information},
            language = {en},
            title = {A new perspective on holographic entanglement},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {jul},
            note = {PIRSA:16070011 see, \url{https://pirsa.org}}

Matthew Headrick Brandeis University


The by-now classic Ryu-Takayanagi formula associates the entanglement entropy of a spatial region in a holographic field theory with the area of a certain minimal surface in the bulk. Despite its simplicity and beauty, this formula raises a number of stubborn conceptual problems. I will present a reformulation which does not involve the areas of surfaces. This reformulation leads to a picture of entanglement in the field theory being carried by Planck-thickness "bit threads" in the bulk. I will argue that this picture helps to resolve a number of the conceptual difficulties surrounding the RT formula