A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In 2D, the infinite-dimensional algebra of local conformal transformations normally permits exact solution or classification of such theories. Further use for CFT applications to string theory, statistical mechanics, and condensed matter physics.
A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In 2D, the infinite-dimensional algebra of local conformal transformations normally permits exact solution or classification of such theories. Further use for CFT applications to string theory, statistical mechanics, and condensed matter physics.
The Conformal Group describes the transformations that leave the metric invariant up to a scalar factor, in other words, transformations that preserve angles.
These transformations are described by
- Translations (Generated by Momentum)
- Rotations (Generated by Angular Momentum)
- Dilations (Scaling)
- SCFTs (Special Conformal Transformations (Inversion through origin - translations - inversion through origin)