PIRSA:10100098

Perimeter Institute Pedagogical Introduction: Tensor Networks and Geometry, the Renormalization Group and AdS/CFT

APA

Vidal, G. (2011). Perimeter Institute Pedagogical Introduction: Tensor Networks and Geometry, the Renormalization Group and AdS/CFT . Perimeter Institute. https://pirsa.org/10100098

MLA

Vidal, Guifre. Perimeter Institute Pedagogical Introduction: Tensor Networks and Geometry, the Renormalization Group and AdS/CFT . Perimeter Institute, Oct. 25, 2011, https://pirsa.org/10100098

BibTex

          @misc{ pirsa_10100098,
            doi = {},
            url = {https://pirsa.org/10100098},
            author = {Vidal, Guifre},
            keywords = {},
            language = {en},
            title = {Perimeter Institute Pedagogical Introduction: Tensor Networks and Geometry, the Renormalization Group and AdS/CFT },
            publisher = {Perimeter Institute},
            year = {2011},
            month = {oct},
            note = {PIRSA:10100098 see, \url{https://pirsa.org}}
          }
          

Abstract

One might be confused by the proliferation of tensor network states, such as MPS, PEPS, tree tensor networks [TTN], MERA, etc. What is the main difference between them? In this talk I will argue that the geometry of a tensor network determines several properties of the state that is being represented, such as the asymptotic scaling of correlations and of entanglement entropy. I will also describe the relation between the MERA and the Renormalization Group, and will review Brian Swingle