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.
Objective
"A critical challenge of the current era in theoretical and mathematical physics is to understand and solve strongly coupled quantum field theories. Meeting this challenge will necessitate a significant reformulation of the edifice of quantum field theory and will surely require dramatic mathematical breakthroughs.
To this end, a productive and promising strategy is to focus on the intricate algebraic structure of observables in quantum field theories, and in particular in those theories that are fixed points of the renormalization group, namely conformal field theories. From this point of view, supersymmetric quantum field theories are ideal theoretical laboratories; they enjoy special structure properties that not only improve their tractability but position them centrally in several areas of contemporary mathematics. Additionally, the landscape of known superconformal field theories is much richer than its non-supersymmetric counterpart and includes many models of interest due to their connections with string theory, holography, and particle physics.
In recent years it has been recognized that the combination of (extended) supersymmetry and conformal symmetry guarantees the existence of several remarkable cohomological reductions of the full operator algebras of these theories. This is a proposal to establish a world-leading research team to develop these ""superconformal operator algebras"" into a coherent framework that can be used as a non-perturbative backbone for the analysis of such models. The team will include a diverse array of researchers with expertise in conformal field theory, supersymmetric localization, topological field theory, geometric representation theory, and vertex algebras. Our framework will be used to constrain, organize, and classify the landscape of SCFTs, as well as to solve for supersymmetric observables in theories of interest. It will also serve as a rigorous mathematical entry point for the study of these theories more generally."
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC)
MAIN PROGRAMME
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Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
ERC-COG - Consolidator Grant
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) ERC-2019-COG
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
OX1 2JD Oxford
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.