GP seminar: Magnetic Quivers and RG Flows in 3d–6d SCFTs

Abstract: Supersymmetric quantum field theories (SQFTs) with eight supercharges in dimensions 3 to 6 feature rich moduli spaces, where the Higgs branches - often singular hyper-Kähler spaces - play a central role. The framework of magnetic quivers provides a combinatorial tool to fully encode these geometries, while the decay and fission algorithm efficiently determines their phase structure and renormalization group (RG) flows through convex linear algebra techniques.

In this talk, I will present a unified perspective on maximal hyper-Kähler branches and RG flows in SCFTs across dimensions 3 to 6, focusing in particular on recent advances for three-dimensional N=3 Chern-Simons matter (CSM) theories. Utilizing Type IIB brane constructions, we derive magnetic quivers that capture the maximal hyper-Kähler branches of both N=3 and N=4 CSM theories, including cases with non-trivial Chern-Simons levels beyond the reach of standard dualities. This provides the first systematic characterization of their moduli spaces and RG flows, expanding the magnetic quiver technology into new, previously unexplored territory.

Based primarily on recent work with F. Marino (arXiv:2503.02744), building on earlier developments with A. Bourget and Z. Zhong (arXiv:2312.05304, 2401.08757).

This is a seminar in the Centre of Geometry and Physics seminar series.