Mathematical models for disordered critical point theories (2011–2013)
The integer quantum Hall effect lies at the forefront of research in contemporary physics but the theoretical understanding of such critical behaviour in disordered systems is currently very poor. To obtain deeper understanding will require new analytic techniques. This proposal aims to develop such techniques based on the Chief Investigators' recent contributions in representations of superalgebras and exact solutions of sigma models on supermanifolds. The world class team of experts will develop a sophisticated range of innovative mathematical tools for analysing disordered critical point theories and applications. These results will provide deep insights into physical principles responsible for critical phenomena.