Séminaire Fedor Levkovich Maslyuk

Mardi 16 mai, 14h00, salle E 4.13 Hybride (jour exceptionnel)

Fedor Levkovich Maslyuk

Institut de Physique Théorique, CEA, Saclay, France

Separation of variables and correlation functions: from spin chains to CFT

Recent years have seen great progress in developing and applying separation of variables (SoV) in quantum integrable models. I will describe the main results achieved in this program based on a series of papers with my collaborators. In particular, I will present the SoV construction for gl(N) integrable spin chains. I will also show how to resolve the longstanding problem of computing the SoV measure, and how it leads to new highly compact determinant results for a large class of correlators and wavefunction overlaps. I will also demonstrate the power of SoV in 4d integrable CFT's such as the fishnet theory, and present related results for Yangian symmetry of a new large class of Feynman graphs. Lastly I will outline highly promising applications in computation of exact correlators in N=4 super Yang-Mills theory