# Categories/Varieties and Monads

What is the difference of $$\text{CAT}^{\mathbb T}$$ from $$\text{VAR}$$ in this paper sketched below?

• They are defined in the passage. Can you be more specific about your problem? – Kevin Carlson Jun 7 at 4:05
• I just want to know what is the intuitive difference between $VAR$ and $CAT^T$ i.e. easily understandable by a beginner. – user122424 Jun 7 at 12:52

• OK. What is this thing: $\text{CAT}^{\mathbb T}$ ? What are 0-cells and 1-cells of it? Then 2-cells will be all n.t., right? – user122424 Jun 7 at 16:51