Algebraic Foundations of Supersymmetric Quantum Field Theory

Project description

Laying the mathematical foundations of supersymmetric quantum field theory

A type of spacetime symmetry, supersymmetry has been garnering great interest as it is an extension of the more familiar symmetries of quantum field theory (QFT). Recent studies have demonstrated that the combination of supersymmetry and the symmetries found in conformal field theories – QFTs that remain invariant under conformal transformations – guarantees the existence of several remarkable cohomological reductions of the operator algebras underpinning these two theories. The EU-funded SCFTAlg project aims to integrate these 'superconformal operator algebras' into a coherent framework that will serve as a non-perturbative backbone for analysing these theories. It will be used to constrain and classify supersymmetric quantum field theories as well as solve supersymmetric observables in theories of interest.

Field of science

/natural sciences/physical sciences/theoretical physics/particle physics
/natural sciences/physical sciences/theoretical physics/string theory
/natural sciences/mathematics/pure mathematics/algebra
/natural sciences/mathematics/applied mathematics/mathematical physics
/natural sciences/physical sciences/quantum physics/quantum field theory

Funding Scheme

ERC-COG - Consolidator Grant

Host institution

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD

Address

Wellington Square University Offices
OX1 2JD Oxford
United Kingdom

Activity type

Higher or Secondary Education Establishments

EU contribution

€ 1 963 921

Website

Contact the organisation

Beneficiaries (1)

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD

United Kingdom