Descripción del proyecto
Acceso a problemas que de otro modo serían irresolubles: nuevos resultados exactos para simetrías rotas
La física moderna se basa en gran medida en consideraciones de simetría, donde el término «simetría» se refiere a la invariancia en caso de determinadas transformaciones. En otras palabras, el sistema tiene el mismo aspecto después de alguna transformación. Sin embargo, la simetría no siempre es «exacta» ni incondicionalmente válida, puede «romperse». Esto significa que, el sistema, después de la transformación, presenta una simetría inferior a la original. Se han logrado avances considerables en lo que respecta a las teorías con grandes cantidades de simetría, pero no para las teorías más realistas en las que se rompe la simetría. El equipo del proyecto BrokenSymmetries, financiado por el Consejo Europeo de Investigación, abordará esta laguna mediante el desarrollo de nuevos resultados exactos para casos en los que se rompe alguna de las invariancias supersimétricas o conformes.
Objetivo
Symmetries serve as our main guide in studying physical phenomena. The more symmetric a system is, the more constrained are its degrees of freedom and the better prospects we have to understand and solve it. Significant progress has been achieved in the study of theories with high amounts of symmetry in the last decades. Supersymmetry and conformal invariance are the main reasons why the beautiful idea of holography materialised into the AdS/CFT correspondence and the discovery of hidden symmetries (integrability) in gauge theories was possible. Thanks to supersymmetry, modern mathematical techniques allowed the evaluation of the otherwise unfathomable path integral and the comprehensive study of a long list of physical observables. Finally, the successful revival of the conformal Bootstrap program is based on conformal invariance.
These breakthroughs are, unfortunately, applicable only to theories with unrealistic amounts of symmetry. BrokenSymmetries will break this impasse by applying the aforementioned ideas to more realistic theories, where some of the supersymmetry and/or conformal invariance are broken.
The key innovation of BrokenSymmetries is to still make use of a broken symmetry. Symmetries are captured by Ward identities which we can still derive in various cases of symmetry breaking. Broken symmetries also imply powerful non-perturbative relations that observables obey. We will combine these with the developments mentioned above, producing novel exact results. Our approach will give a handle on otherwise insoluble problems.
The objectives of BrokenSymmetries are to obtain exact results while breaking:
1) conformal invariance spontaneously, keeping supersymmetry intact;
2) supersymmetry explicitly, keeping conformal invariance intact;
3) both supersymmetry and conformal invariance turning on the temperature;
4) (super)symmetry generators in the context of integrability, which get upgraded to quantum groups' generators.
Ámbito científico
Programa(s)
- HORIZON.1.1 - European Research Council (ERC) Main Programme
Régimen de financiación
ERC - Support for frontier research (ERC)Institución de acogida
22607 Hamburg
Alemania