Area C: Integrability of non-perturbative effects in quantum field and string theories

PIs: Dyckerhoff, Teschner, Wedrich

We propose to advance the toolbox of higher categorical techniques for the computation of topological Fukaya categories along with applications to quantum link invariants. This provides a basis for the study of cluster structures of topological string partition functions.

PIs: Arutyunov, Cortés, Teschner

Structures and methods of the theory of integrable models will be used for the study of hyperkähler and quaternionic Kähler manifolds relevant for string theory. Related geometries will be used to develop geometric solution techniques for quantum integrable models.

PIs: Arutyunov, Pomoni

We aim to understand and mathematically describe the hidden symmetries and integrable structures of N=2 superconformal gauge theories.

PIs: Arutyunov, Lawrie, Schomerus

This project addresses the construction of spin Ruijsenaars--Schneider (RS) models with elliptic potential as well as their solution. To this end, we will explore elliptic spin RS models and their generalizations utilizing higher-dimensional supersymmetric field theories.