Project Details
Elliptic Integrability in 4D N = 2 gauge theories (C03)
Subject Area
Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
Term
since 2024
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 506632645
The goal of this project is the solution of spectral problems characterising the anomalous dimensions in certain N = 2, d = 4 supersymmetric gauge theories, generalising the known results for the case with maximal amount of supersymmetry. In a first step we want to map the full dilation operator to the Hamiltonian of an elliptic (or more general) integrable model. Once this is achieved, we want to develop the techniques to solve the spectral problem for the relevant Hamiltonian. A new feature will be the appearance of elliptic quantum super-algebras and their representation theory.
DFG Programme
Collaborative Research Centres
Applicant Institution
Universität Hamburg
Project Heads
Professor Dr. Gleb Arutyunov; Professorin Elli Pomoni, Ph.D.