Random field models and Parisi-Sourlas supersymmetry

par Dr Emilio Trevisani (Centre de Physique Théorique, École Polytechnique, France.)

mardi 13 déc. 2022, 14:00 → 15:00 Europe/Paris

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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.