Integrable Systems & Mathematical Methods
We investigate exactly solvable systems, with an emphasis on the classification of integrable models and the development of analytical and algebraic techniques for their solution. This research addresses the emergence of universality classes and the characterization of universal scaling behavior in the macroscopic limits of microscopic quantum many-body systems, with condensed matter physics and and high energy quantum field theory serving as primary domains of application.
Primary Contact:
Karol KOZLOWSKI
Senior Researchers:
François DELDUC, Karol KOZLOWSKI, Luca LIONNI, Marc MAGRO, Jean-Michel MAILLET, Giuliano NICCOLI, Jean-Marie STEPHAN
Postdocs:
Alexander LITTLE
PhD Students:
Alex SIMON (2024-..)
Integrable quantum field theories
► Sinh & Sine Gordon models, Wightman axioms, quantum S-matrix, Concentration of Measure
Quantum Separation of Variables
► Higher Rank Integrable Algebras, Conserved Charge Fusions, Form Factors, Correlations Functions
Universality of interacting integrable systems
► 6-vertex model, Fortuin-Kasteleyn percolation, conformal field theory, star-triangle relation
Random matrices & tensors
► Free probability, Random geometry, Multipartite entanglement, Random tensor networks