Seiberg dualities for general quiver kernels
演讲者
方媛媛
时间
2026年06月18日 14:00 至 15:30
地点
A7-302
线上
Zoom 388 528 9728
(BIMSA)
摘要
Seiberg duality relates distinct four-dimensional \(\mathcal N=1\) gauge theories that flow to the same infrared fixed point. In this talk, I will describe a systematic approach to constructing and testing such dualities using protected data, with emphasis on chiral rings, anomalies, and the superconformal index. In the large-\(N\) limit, equality of indices becomes a simpler meson-truncation equation: for simple \(SU\), \(SO\), and \(Sp\) gauge theories it organizes possible magnetic ranks, meson spectra, and tensor-matter constraints. Cyclotomic factorization recovers known Kutasov-type and ADE-like families and suggests new candidate dualities.
I will then explain how the same idea extends to quiver gauge theories. The reduced quiver kernel gives a matrix-valued large-\(N\) equation controlling magnetic ranks, singlet mesons, and R-charges. For \(SO/Sp\) quivers, the index must also remember symmetric versus antisymmetric flavor projections, producing signed meson data. Examples include recovered two-node \(SU\) and \(SO/Sp\) dualities, together with finite-rank index checks. I will close with open directions involving generalized symmetry matching and reductions to 3d and 2d dualities.
I will then explain how the same idea extends to quiver gauge theories. The reduced quiver kernel gives a matrix-valued large-\(N\) equation controlling magnetic ranks, singlet mesons, and R-charges. For \(SO/Sp\) quivers, the index must also remember symmetric versus antisymmetric flavor projections, producing signed meson data. Examples include recovered two-node \(SU\) and \(SO/Sp\) dualities, together with finite-rank index checks. I will close with open directions involving generalized symmetry matching and reductions to 3d and 2d dualities.