Supersymmetry in curved space
Lead Research Organisation:
University of Edinburgh
Department Name: Sch of Mathematics
Abstract
The project aims to explore supersymmetric field theories in curved space and some of their applications. An initial part of the project to compute generalised Spencer cohomology in order to determine Killing spinor equations whose solutions generate a Lie superalgebra. One then determines the geometries admitting such Killing spinors and for each such geometry the corresponding supersymmetry algebra. Studying the unitary representation theory of these supersymmetry algebras one determines the natural supermultiplets in each geometry and one can then construct supersymmetric field theories. These can then be applied to supersymmetric localisation of quantum field theories.
Organisations
Studentship Projects
Project Reference | Relationship | Related To | Start | End | Student Name |
---|---|---|---|---|---|
ST/T506059/1 | 01/10/2019 | 30/09/2023 | |||
2311941 | Studentship | ST/T506059/1 | 01/10/2019 | 31/08/2023 | Andrew Beckett |