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Résumé |
The conformal bootstrap is a robust tool for the non-perturbative study of
conformal field theories (CFTs)
making use unitarity and crossing of simple four-point correlation functions.
However, not all observables are
accessible in this setup and it is not clear whether a theory can be determined
uniquely through these
constraints. Higher-point correlation functions of simple operators contain
information about an infinite
number of four-point correlators with complicated operators, and can potentially
address the aforementioned
problems. In this talk, I will discuss recent progress in generalizing the
bootstrap program to higher-point
functions, with emphasis on a positive semi-definite numerical setup for the six-
point crossing equation in
one dimension. Despite the drastic simplifications with respect to higher
dimensions, the problem retains its
infinite nature, which we are able to address, obtaining non-trivial bounds on
scaling dimensions and
four-point functions at fixed kinematics. |
