Integrable Structures in Quantum Field Theory

Lead Research Organisation: University of Edinburgh
Department Name: Sch of Mathematics

Abstract

Integrability arises in many settings in QFT. These include the construction of explicit solutions such as monopoles, Seiberg-Witten theory associated with N=2 SUSY gauge theories, and Hitchin systems. In some settings there is a twistor
theoretic construction. Common to such is a spectral curve and its allied geometry, differentials and moduli space. The project will develop spectral curve theory and apply this in the QFT setting.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/R513209/1 01/10/2018 30/09/2023
2294361 Studentship EP/R513209/1 01/09/2019 31/10/2023 Alec Disney-Hogg