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FAIM

Financiado

Finding All Integrable Models

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 o... ver más

31/08/2028

TRINITY COLLEGE DU...

2M€

Presupuesto del proyecto: 2M€

Líder del proyecto

THE PROVOST FELLOWS FOUNDATION SCHOLARS THE... No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Financiación concedida El organismo HORIZON EUROPE notifico la concesión del proyecto el día 2023-04-24

ERC-2022-COG: ERC CONSOLIDATOR GRANTS Scope:Objectives

I+D

Cerrada hace 2 años

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1 Participantes

TRINITY COLLEGE DUBLIN

1.99M€ | Lider

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Duración del proyecto: 64 meses Fecha Inicio: 2023-04-24
Fecha Fin: 2028-08-31

Líder del proyecto

THE PROVOST FELLOWS FOUNDATION SCHOLARS THE... No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 2M€

Descripción del proyecto 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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