A more functional bootstrap

The conformal bootstrap aims to systematically constrain CFTs based on crossing symmetry and
unitarity. In this talk I will introduce a new approach to extract information from the crossing symmetry
sum rules, based on the construction of linear functionals with certain positivity properties. I show
these functionals allow us to derive a class of optimal bounds on CFT data, and also act as an ideal basis
for obtaining other bounds numerically. Furthemore I will argue that special extremal solutions to
crossing form a basis for the crossing equation, with the functionals living in the dual space, providing a
rigorous derivation of the Polyakov (Mellin) bootstrap in 1D.

Dates: 

Mardi, 19 mars, 2019 - 14:00

Localisation / Location: 

APC

Salle / Local: 

646A - Mondrian

Nom/Prénom // Last name/First name: 

M. Paulos

Affiliation: 

ENS Paris

Equipe organisatrice / Organizing team: 

  • Théorie