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
• Subproject of: SFB 1624: Higher structures, moduli spaces and integrability
• Applicant Institution: Universität Hamburg
• Project Heads: Professor Dr. Gleb Arutyunov; Dr. Elli Pomoni, Ph.D.