Project description
High-symmetry structures in quantum field theories under study
Symmetry structures are key to deciphering the complexity of physical systems, especially those governed by quantum field theories (QFTs). They help group observables, classify phases, determine selection rules and offer insight into strongly coupled dynamics. Funded by the Marie Skłodowska-Curie Actions programme, the GEOSYM project will explore these symmetry structures in geometrically engineered QFTs. The focus will initially be on 4D theories defined by spectral curves and special holonomy spaces. The proposed research aims to define the symmetry representations and fusion structures related to their higher symmetries. This approach could offer insight into confining properties and phase structures of strongly coupled systems. Researchers will also study analogous symmetry structures for superconformal theories in 5D and 6D.
Objective
Symmetry structures are key to organizing the complexity of physical systems. In systems described by quantum field theories (QFTs) symmetries group observables, classify phases, determine selection rules and give insight into strongly coupled dynamics. They are irreplaceable in the study of phenomena such as confinement or duality. Recently, the notion of ‘symmetry’ in quantum field theories was understood to admit a substantial generalization to higher categorical structures such as n-groups and non-invertible symmetries. These realize further non-perturbative data yielding new handles in the study of QFTs. The goal of this project is to analyze such symmetry structures in geometrically engineered QFTs. We initially focus on theories in 4d parametrized by spectral curves and/or special holonomy spaces and aim to geometrize the symmetry representations and fusion structures related to their higher symmetries, building on both past work of the researcher and supervisor. This approach, unlike recent field theoretic developments, does not rely on a Lagrangian description of the QFT and therefore offers insight into confining properties and phase structures of strongly coupled systems. The foremost research objective of this proposal lies in charting these structures for increasingly less supersymmetric theories, including theories with no supersymmetry. All current evidence suggests that such symmetry structures only depend on topological data of the spectral curves and special holonomy space which we aim to trace through supersymmetry breaking deformations. Further research objectives include the study of analogous symmetry structures for superconformal theories in 5d and 6d. Such theories are intrinsically strongly coupled and the geometric methods developed in 4d, guided by field theory, come into their own as there are now no weak-coupling limits to extrapolate from.
Fields of science (EuroSciVoc)
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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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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
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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.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2022-PF-01
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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.
751 05 Uppsala
Sweden
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.