GEOSYM
Financiado
The Geometry of Higher Symmetries
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 str...
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.
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Duración del proyecto: 37 meses
Fecha Inicio: 2023-07-27
Fecha Fin: 2026-08-31
Fecha Fin: 2026-08-31
Línea de financiación: concedida
El organismo HORIZON EUROPE notifico la concesión del proyecto el día 2023-07-27
Línea de financiación objetivo
El proyecto se financió a través de la siguiente ayuda:
HORIZON-MSCA-2022-PF-01-01:
MSCA Postdoctoral Fellowships 2022
Cerrada
hace 2 años
Presupuesto
El presupuesto total del proyecto asciende a
207K€
Líder del proyecto
UPPSALA UNIVERSITET
No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico
TRL
4-5
Perfil tecnológico
TRL
4-5