From the hierarchy problem to prime principle constraints on CFTs in 4 dimensions
by
Prof.Riccardo Rattazzi(EPFL, Lausanne)
→
Europe/Rome
Aula Conversi (Dip. di Fisica - Edificio G. Marconi)
Aula Conversi
Dip. di Fisica - Edificio G. Marconi
Description
Strongly coupled conformal field theories may conceivably play a role in explaining mass hierarchies. This possibility is posing us questions that force us to develop new non-perturbative methods. An example of such a question is the following: in an arbitrary CFT, given a scalar operator \phi, and the operator \phi^2 defined as the lowest dimension scalar appearing in the \phi x \phi OPE, what is the bound d_\phi^2 < f(d_\phi) on the scaling dimensions of the two operators? Motivated by that question, I will discuss a new prime principle method to bound the general structure, i.e. operator dimensions and fusion coeffcients, of a CFT in any dimension. I will present the results, compare their remarkable agreement with exactly solvable 2D CFTs, and discuss the possible relevance to phenomenological applications in 4D.
