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 (SCFTs). Utilising the Hilbert Series, computed as a specific limit of the Superconformal Index, we establish that the moduli spaces of these theories are simple algebraic varieties, presenting a single connected component for three of the families studied (FT_N , FC_N , FH_N ) and a main branch plus simple branches generated by singlets for the remaining families (FM_N , FE_N).