Tensor network and (p-adic) AdS/CFT


Hung, L. (2017). Tensor network and (p-adic) AdS/CFT. Perimeter Institute. https://pirsa.org/17040048


Hung, Ling-Yan. Tensor network and (p-adic) AdS/CFT. Perimeter Institute, Apr. 21, 2017, https://pirsa.org/17040048


          @misc{ pirsa_17040048,
            doi = {10.48660/17040048},
            url = {https://pirsa.org/17040048},
            author = {Hung, Ling-Yan},
            keywords = {Condensed Matter, Quantum Fields and Strings, Quantum Gravity, Quantum Information},
            language = {en},
            title = {Tensor network and (p-adic) AdS/CFT},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {apr},
            note = {PIRSA:17040048 see, \url{https://pirsa.org}}

Ling-Yan Hung Tsinghua University


We will describe how the reconstruction of a bulk operator can be organised systematically. With a suitable parametrisation, an analogue of the HKLL formula emerges, involving a smearing function satisfying a Klein Gordon equation in the graph. The parametrisation also allows us to read off interaction vertices, and build up loop diagrams systematically. When we interpret the Bruhat-Tits tree as a tensor network, we recover (partially) features of the p-adic AdS/CFT dictionary discussed recently in the literature.