PIRSA:21120006 Scientific Series Condensed Matter

DOI10.48660/21120006

Series: Quantum Matter

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

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

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

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

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