Single quiver Yangian-like algebras for two-supercharge theories

Construct single quiver Yangian-like algebras for theories with two supercharges, or otherwise determine how quiver-algebra structures encoding their BPS states can be extracted from the state-dependent charge functions.

Background

For four-supercharge theories, the authors separate admissible poles from the full Jeffrey–Kirwan residue data to obtain state-independent charge functions and single quiver Yangians. For two-supercharge theories, the charge functions generally depend on the particular crystal configuration, obstructing a direct extraction of state-independent generator relations. The authors leave unresolved whether and how an appropriate single quiver Yangian-like algebra can be obtained.

References

Nevertheless, it is still not clear how to extract the quiver Yangian(-like) algebras for \mathcal{N}=2.

Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues  (2501.03365 - Bao et al., 6 Jan 2025) in Section 7.3, subsection “Miscellaneous Comments”