Looking for Quantum Gravity in the Space of Conformal Field Theories

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Conformal field theories have many applications ranging
from continuous phase transitions in Statistical Mechanics to models of beyond
the Standard Model physics in Particle Physics.

In this talk, I will explain another remarkable
application: some conformal field theories can be used to define and study
Quantum Gravity.

I will also try to give a brief summary of some of the
main ideas being discussed at the conference "Back to the Bootstrap II".