The vacuum moduli spaces of the improved bifundamental SCFTs are claimed to be single-branch irreducible varieties, with Hilbert series extracted from superconformal index limits.
Flips, dualities and symmetry enhancements
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abstract
We present various 4d $\mathcal{N}=1$ theories enjoying IR global symmetry enhancement. The models we consider have the $USp(2n)$ gauge group, 8 fundamental, one antisymmetric chirals and various numbers of gauge singlets. By suitably turning on superpotential deformations involving the singlets which break part of the UV symmetry we flow to SCFTs with $E_6$, $SO(10)$, $SO(9)$, $SO(8)$ and $F_4$ IR global symmetry. We explain these patterns of symmetry enhancement following two arguments due to Razamat, Sela and Zafrir. The first one involves the study of the relations satisfied by marginal operators, while the second one relies on the existence of self-duality frames.
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Hilbert Series and Superconformal Indices of the Improved Bifundamentals
The vacuum moduli spaces of the improved bifundamental SCFTs are claimed to be single-branch irreducible varieties, with Hilbert series extracted from superconformal index limits.