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Quantum Fields and Strings Group Seminar
Quantum Fields and Strings Group Seminar
Seiberg dualities for general quiver kernels
Seiberg dualities for general quiver kernels
Organizers
Speaker
Yuanyuan Fang
Time
Thursday, June 18, 2026 2:00 PM - 3:30 PM
Venue
A7-302
Online
Zoom 388 528 9728
(BIMSA)
Abstract
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.