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Lattice discretization of the conformal symmetry and applications to geometrical problems

Date and Time: Tuesday, May 31, 2022, 01:30pm -
Location: 330W and Zoom (https://rutgers.zoom.us/j/93846285523?pwd=UzJ1MnJXNXlpUVNTQUVLQmdzOEFnUT09)
 

Speaker: Linnéa Gräns Samuelsson (CEA Saclay)

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 geometrical problems such as polymers and percolation.

 

Host: Ananda Roy

Extra Info: