Student Probability Seminar

---

Random walk isomorphism theorems for supersymmetric spin systems

Speaker: Haoran Hu, NYU Courant

Location: Warren Weaver Hall WWH 517

Date: Monday, December 4, 2023, 12:30 p.m.

Synopsis:

In this talk, we will generalize the classical random walk representation of spin systems to supersymmetric (SUSY) cases. After reviewing some of the physical background on SUSY and some mathematical preliminary results, we will discuss the BFS-Dynkin isomorphism and Ray-Knight isomorphism for the SUSY GFF, the SUSY hyperbolic model and the SUSY hemispherical model. The proof of these theorems relies on the Euclidean (or Lorentz) symmetries of these SUSY lattice fields. This talk is based on a work of Bauerschmidt, Helmuth and Swan.