The "data" of these theories is used as input to a technique that uses crossing symmetry to fix four-point functions of their primary operators; that's their "bootstrap" technique.
In 4D examples of these theories, Komargodski and Schwimmer proved the existence of a function which decreases monotonically under RNG flow; but the status of that "A-theorem" is unknown in six dimensions. The "data" of these theories is used as input to a technique that uses crossing symmetry to fix four-point functions of their primary operators; that's their "bootstrap" technique. The Weyl anomaly is a violation of the key symmetry of this class of theories, which also describes the worldsheet of string theory. 2D examples of these theories have infinite-dimensional symmetry groups generated by Virasoro algebras. Statistical systems at their critical point can be described by these theories since the divergence of the correlation length leads to these theories' characteristic scale invariance. For 10 points, what type of QFT was conjectured by Juan Maldacena to be dual to gravitational theories in anti-de Sitter space?
In 4D examples of these theories, Komargodski and Schwimmer proved the existence of a function which decreases monotonically under RNG flow; but the status of that "A-theorem" is unknown in six dimensions.
conformal field theory [or CFT]