Calendar of Events
Events Calendar
Lattice discretization of the conformal symmetry and applications to geometrical problems
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