Universal formulae in simple Lie algebras and Chern-Simons theory

by Ruben Mkrtchyan (Yerevan)

Monday 28 Nov 2016, 14:00 → 15:00 Europe/Zurich

4/2-037 - TH meeting room (CERN)

Universal formulae in simple Lie algebras and their applications are functions on two-dimensional Vogel’s plane, which at certain points from Vogel’s table take values of given invariant quantities, e.g. dimensions of an adjoint representations, for a given simple Lie group. Universal formulae exist for dimensions, (higher) Casimir’s eigenvalues, central charges, partition functions of Chern-Simons theory, colored knot’s invariants, anomaly of Vogel’s symmetry, etc.