PIRSA:21120006

Video URL

https://pirsa.org/21120006

Discretizing 2d conformal field theories: the lattice action of the conformal algebra

Samuelsson, G. (2021). Discretizing 2d conformal field theories: the lattice action of the conformal algebra . Perimeter Institute for Theoretical Physics. https://pirsa.org/21120006

Samuelsson, Grans. Discretizing 2d conformal field theories: the lattice action of the conformal algebra . Perimeter Institute for Theoretical Physics, Dec. 02, 2021, https://pirsa.org/21120006 

          @misc{ scivideos_PIRSA:21120006,
            doi = {10.48660/21120006},
            url = {https://pirsa.org/21120006},
            author = {Samuelsson, Grans},
            keywords = {Quantum Matter},
            language = {en},
            title = {Discretizing 2d conformal field theories: the lattice action of the conformal algebra },
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {dec},
            note = {PIRSA:21120006 see, \url{https://scivideos.org/index.php/pirsa/21120006}}
          }

Grans Samuelsson CEA Paris-Saclay

Talk numberPIRSA:21120006
DOI10.48660/21120006
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Conformal field theories (CFTs) are ubiquitous in theoretical physics as fixed points of renormalization, descriptions of critical systems and more. In these theories the conformal symmetry is a powerful tool in the computation of correlation functions, especially in 2 dimensions where the conformal algebra is infinite. Discretization of field theories is another powerful tool, where the theory on the lattice is both mathematically well-defined and easy to put on a computer. In this talk I will outline how these are combined using a discrete version of the 2d conformal algebra that acts in lattice models. I will also discuss recent work on convergence of this discretization, as well as on applications to non-unitary CFTs that appear in descriptions of problems of interest in condensed matter physics such as polymers, percolation and disordered systems.

Zoom Link: https://pitp.zoom.us/j/95048143778?pwd=N1hhVHlsZThVYzBWTy9CNlBTUHIydz09