Kick-off event: AI and the future of mathematics and physics - 21.10.2026
In light of recent developments, the incoming kick-off event at the Institut Henri Poincaré will take the form of a debate gathering mathematicians and theoretical physicists around the role of AI in the practice of research. More information will come soon.
Theoretical Physics
Random field models and Parisi-Sourlas supersymmetry
byEmilio Trevisani
Abstract:The problem of quenched disorder is very important but notoriously hard. In 1979, Parisi and Sourlas proposed a conjecture about the critical behaviour of models with random field type of disorder. The conjecture states that 1) such models have emergent supersymmetry and 2) that supersymmetry allows to describe them in terms of models in two less dimensions. I will review the conjecture and explain some recent developments on the subject.