topological quantum field theory
Topological quantum field theory (TQFT) is a branch of theoretical physics that studies quantum field theories with a focus on their topological properties. Unlike traditional quantum field theories, which depend on the geometry of space, TQFTs are invariant under continuous deformations of the underlying space. This means that they can capture essential features of a system that remain unchanged even when the shape of the space is altered.
TQFTs have applications in various areas, including mathematics, particularly in the study of manifolds and knot theory. They also play a role in understanding quantum gravity and have connections to string theory. By exploring the interplay between topology and quantum mechanics, TQFTs provide insights into the fundamental nature of space and time.