PIRSA:19040111

Extracting conformal and superconformal data from critical quantum spin chains

Milsted, A. & Zou, Y. (2019). Extracting conformal and superconformal data from critical quantum spin chains. Perimeter Institute. https://pirsa.org/19040111

Milsted, Ashley, and Yijian Zou. Extracting conformal and superconformal data from critical quantum spin chains. Perimeter Institute, Apr. 25, 2019, https://pirsa.org/19040111 

          @misc{ pirsa_PIRSA:19040111,
            doi = {10.48660/19040111},
            url = {https://pirsa.org/19040111},
            author = {Milsted, Ashley and Zou, Yijian},
            keywords = {Condensed Matter},
            language = {en},
            title = {Extracting conformal and superconformal data from critical quantum spin chains},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {apr},
            note = {PIRSA:19040111 see, \url{https://pirsa.org}}
          }
DOI 10.48660/19040111
Collection
Talk Type Conference
Subject

Abstract

Key to characterizing universality in critical systems is the identification of the RG fixed point, which is very often a conformal field theory (CFT). We show how to use lattice operators that mimic the Virasoro generators of conformal symmetry to systematically extract, from a generic critical quantum spin chain, a complete set of the conformal data (central charge, scaling dimensions of primary fields, OPE coefficients) specifying a 2D CFT. We further show that, in the case of an extended superconformal symmetry, one can construct lattice operators that mimic the generators of the superconformal algebra, which allows us to identify superconformal primary states.