Random Field Ising Model and Parisi-Sourlas Supersymmetry - Lecture 1

Explore the intricacies of the Random Field Ising Model and Parisi-Sourlas Supersymmetry in this comprehensive lecture by Slava Rychkov from the Institut des Hautes Etudes Scientifiques (IHES). Delve into recent theoretical developments aimed at explaining the loss of Parisi-Sourlas SUSY and dimensional reduction properties in certain dimensions. Examine the phase diagram of the Random Field Ising Model, analyze numerical results for dimensional reduction of critical exponents, and investigate the implications of Parisi-Sourlas supersymmetry. Learn about RG fixed point disappearance, replica field theory, and the Cardy field transform. Discover the classification of leaders, anomalous dimension computations, and evidence for SUSY fixed point instability. Gain insights into future research directions and open problems in this field. This 1 hour 40 minute lecture is the first part of a series and provides a thorough exploration of the topic, supported by recent research published between 2019 and 2021.