000590308 001__ 590308
000590308 005__ 20230827180601.0
000590308 0247_ $$2CORDIS$$aG:(EU-Grant)101044226$$d101044226
000590308 0247_ $$2CORDIS$$aG:(EU-Call)ERC-2021-COG$$dERC-2021-COG
000590308 0247_ $$2originalID$$acorda_____he::101044226
000590308 035__ $$aG:(EU-Grant)101044226
000590308 150__ $$aExact Results from Broken Symmetries$$y2023-09-01 - 2028-08-31
000590308 372__ $$aERC-2021-COG$$s2023-09-01$$t2028-08-31
000590308 450__ $$aBrokenSymmetries$$wd$$y2023-09-01 - 2028-08-31
000590308 5101_ $$0I:(DE-588b)5098525-5$$2CORDIS$$aEuropean Union
000590308 680__ $$aSymmetries 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.
000590308 909CO $$ooai:juser.fz-juelich.de:1011512$$pauthority:GRANT$$pauthority
000590308 909CO $$ooai:juser.fz-juelich.de:1011512
000590308 980__ $$aG
000590308 980__ $$aCORDIS
000590308 980__ $$aAUTHORITY