Hunting for the new symmetries in Calabi-Yau jungles

by Guennadi Volkov (Universidad Autonoma de Madrid)

Thursday 4 Mar 2004, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

Now it becomes more and more reasonable to propose that the Standard Model could have an intrinsic link with a more fundamental symmetry than the finite Lie symmetries. It was suggested that the Calabi-Yau geometry can be connected with the origin of such new symmetries. Using the fact that the infinite series of Calabi-Yau spaces can be naturally described in an universal algebra (UCYA), one can easily reconstruct the Berger graphs, corresponding to CY_d-p fibre CY_d-spaces (d ≥ 3, p=1, ... ,d-1). These graphs have been studied in detail and decoded in a universal way by changing some restrictions on the generalized Cartan matrices associated with the Dynkin diagrams that characterize affine Kac-Moody algebras. One can propose that these new {Berger} graphs can be directly connected with the generalizations of Cartan-Lie and Kac-Moody algebras.