Random Field Ising Model and Parisi-Sourlas Supersymmetry - Lecture 2

Explore a comprehensive lecture on the Random Field Ising Model and Parisi-Sourlas Supersymmetry presented by Slava Rychkov at the Institut des Hautes Etudes Scientifiques (IHES). Delve into recent theoretical developments aimed at explaining the loss of Parisi-Sourlas supersymmetry and dimensional reduction properties in certain dimensions. Examine numerical evidence, phase diagrams, and critical exponents of the Random Field Ising Model. Investigate the implications of Parisi-Sourlas supersymmetry, RG fixed point disappearance, and the potential role of dangerously irrelevant operators. Study replica field theory, the Cardy field transform, and various interactions in the Cardy basis. Analyze the classification of leaders and anomalous dimension computations, providing evidence for supersymmetric fixed point instability. Conclude with future research directions and open problems in this field. The lecture, lasting 2 hours and 3 minutes, offers an in-depth exploration of this complex topic, supported by recent publications and research findings.