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Finding All Integrable Models

Objective

Symmetry plays an important role in our current understanding of nature. For instance, in the development of the Standard Model of particle physics the understanding of the gauge group of symmetries was crucial. There is a class of models, called integrable systems, which have so many symmetries that they are exactly solvable. Such models have the exciting possibility to be understood in all aspects and thus give valuable insights into physical phenomena. In this way integrable models offer a unique approach to tackling open problems in physics, such as, for instance, describing strongly coupled systems.

The aim of this proposal is to develop a new method to find and classify new integrable systems. Our approach is based on a new framework which was very recently put forward by the PI and his group. This new approach was applied to models that are closely related to regular integrable systems from string theory, quantum field theory and condensed matter physics. Several new models were discovered in this way but their physical and mathematical properties still remain to be understood.

FAIM will be particularly focussed on models that have long-range interactions. These models are crucial in understanding strong coupling behaviour in for instance integrable models that appear in the AdS/CFT correspondence. Understanding long-range interactions is paramount to the computation of correlation functions in these models. Long-range interactions are also important for quantum systems in condensed matter such as cellular automatons.

More generally, integrable structures appear in basically all areas of physics. For this reason, finding new integrable models and classifying them will have a large multidisciplinary impact, with exciting applications ranging from condensed matter to string theory. This will potentially help us understand physical phenomena in various different fields.

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Keywords

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Topic(s)

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

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(opens in new window) ERC-2022-COG

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Host institution

THE PROVOST, FELLOWS, FOUNDATION SCHOLARS & THE OTHER MEMBERS OF BOARD, OF THE COLLEGE OF THE HOLY & UNDIVIDED TRINITY OF QUEEN ELIZABETH NEAR DUBLIN
Net EU contribution

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.

€ 1 994 849,00
Address
COLLEGE GREEN TRINITY COLLEGE
D02 CX56 Dublin
Ireland

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Region
Ireland Eastern and Midland Dublin
Activity type
Higher or Secondary Education Establishments
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Total cost

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.

€ 1 994 849,00

Beneficiaries (1)

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