Which branch of physics does Conformal Field Theory belong to?

Conformal Field Theory (CFT) resides within the realm of Quantum Field Theory (QFT), a theoretical framework that combines quantum mechanics with special relativity to describe the behavior of particles and fields. CFT specifically focuses on systems exhibiting conformal symmetry, a particular type of symmetry that preserves angles but not necessarily distances. This makes it a crucial tool in understanding various phenomena in particle physics, condensed matter physics, and string theory.