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EU funding (€1,999,876): Symmetries and Spectra Hor30 Sept 2025 EU Research and Innovation programme "Horizon"
Overview
Text
Symmetries and Spectra
"Symmetry is ubiquitous in nature. It is a fundamental concept and organising principle in quantum field theory, the common language of modern theoretical physics. The past few years have witnessed a radical evolution in the notion of symmetry that transcends the paradigm of groups and representation theory and marches into the realm of higher mathematics. This is known as categorical symmetry. The field has experienced a period of rapid discovery and exploration but the underlying mathematical structure remains poorly understood and this hinders progress on the most pressing open problems. Now is the time to take stock of recent developments and establish new mathematical foundations and computational tools in order to take advantage of this unprecedented opportunity to explore novel symmetries and gain new insights into physical systems described by quantum field theory. The purpose of this research programme is to establish a coherent mathematical framework for categorical symmetry. The research programme introduces and explores the notion of ``categorical spectrum"", which compiles topological quantum field theories of all dimensions into a mathematical structure that opens up powerful conceptual and computational advances. This is applied to the exploration of categorical symmetries, 't Hooft anomalies and gapped phases of matter, catalysing a step change in the discovery of new examples and applications."
Funded Companies:
| Company name | Funding amount |
| University of Durham | €1,999,876 |
Source: https://cordis.europa.eu/project/id/101171750
The filing refers to a past date, and does not necessarily reflect the current state. The current state is available on the following page: University of Durham, Durham.
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