Chiral representation theory unit investigates the symmetries arising in quantum field theories. More specifically, it focuses on the representation theory of infinite-dimensional Lie algebras such as Kac–Moody algebras, and more generally, on vertex algebras. This is a relatively young field with many fascinating open problems. Recent work has revealed that chiral representation theory is deeply connected to various areas, including geometry, integrable systems, number theory, topological quantum computing, and higher-dimensional quantum field theories. Our research group explores these connections as well as the underlying representation theory itself.
