Non-abelian Conformal Field Theory

Non-abelian Conformal Field Theory (CFT) is a branch of theoretical physics studying quantum systems that remain unchanged ("conformal") under shape-preserving transformations, particularly involving symmetry groups that are non-commutative ("non-abelian"). These theories describe complex phenomena like particle interactions and critical points in phase transitions, capturing how fields and particles behave at very small scales. The non-abelian aspect means the symmetry operations don't simply commute, leading to richer structures and interactions than abelian cases. Overall, non-abelian CFT provides a powerful framework for understanding fundamental forces and critical phenomena in nature.