# What is a Topological Twist?

I have come across topological twists on numerous occasions but I have never actually seen them explained in an understandable way. So, I was wondering

• What does it physically mean to topologically twist a theory?
• What does it mathematically mean to topologically twist a theory?
• What is the motivation for talking about topological twists?

So, I think I've found an answer to my own question. One can take a supersymmetric theory defined on $$\mathbb{R}^n$$ and topologically twist it by redefining the rotation group of the theory into a mixture of the (spacetime) rotation group and the R-symmetry group.