Hilbert Series and Superconformal Indices of the Improved Bifundamentals

We explore the structure of the moduli space of vacua of Improved Bifundamentals, a recently introduced class of superconformal field theories. Utilizing the Hilbert Series, computed as a specific limit of the Superconformal Index, we establish that the moduli spaces of these theories are irreducible algebraic varieties, presenting a single connected component as opposed to the more common scenario of multiple intersecting branches found in typical SCFT moduli spaces.