New N=1 Dualities

TL;DR

The paper introduces a third non-conventional dual description of the Seiberg dual pair for $ obreak{ m N}=1$ SQCD with $2N$ flavors by coupling two copies of the non-Lagrangian $T_N$ theory and accompanying singlets. This framework extends the classic Seiberg duality and generalizes the Csaki–Schmaltz–Skiba–Terning construction from $SU(2)$ to $SU(N)$, while connecting to a broader web of $ obreak{ m N}=1$ dualities arising from M5-brane compactifications and class S constructions. The core developments include dual descriptions ${ m T}$, ${ m T}_s$, and ${ m T}_c$, and the Higgsing-derived SQCD duals ${ m U}$, ${ m U}_c$, and ${ m U}_s$, all supported by detailed anomaly matching and superconformal index checks. The work further extends to generalized quivers of $T_N$ blocks, showing how local dualities reproduce IR-equivalent UV theories with or without flavor symmetry, and clarifying the role of punctures and nilpotent vevs in shaping the duality web. Overall, the results provide a field-theoretic derivation of a rich duality network linked to M5-brane geometry and offer a robust framework for exploring dualities in non-Lagrangian SCFTs and generalized quivers.

Abstract

We show that the N=1 supersymmetric SU(N) gauge theory with 2N flavors without superpotential has not only the standard Seiberg dual description but also another dual description involving two copies of the so-called T_N theory. This is a natural generalization to N>2 of a dual description of SU(2) gauge theory with 4 flavors found by Csaki, Schmaltz, Skiba and Terning. We also study dualities of other N=1 SCFTs involving copies of T_N theories. Our duality is the basic operation from which a recently-found web of N=1 dualities obtained by compactifying M5-branes on Riemann surfaces can be derived field-theoretically.

Figures (7)

• Figure 1: The $T_N$ theory. The vertices labelled by $A,B$ and $C$ represent the flavor symmetries $SU(N)_A$, $SU(N)_B$ and $SU(N)_C$ respectively.
• Figure 2: Duality of the theory obtained by coupling two $T_N$ theories with an ${\cal N}=2$ vector multiplet. The double line connecting the $T_N$ blocks stands for the ${\cal N}=2$ vector multiplet.
• Figure 3: Dualities of the $\mathcal{N}{=}1$ supersymmetric theory $\cal T$.
• Figure 4: Different dual descriptions of $\mathcal{N}{=}1$$SU(N)$ SQCD with $N_f=2N$. This theory is called ${\cal U}$ in the paper. The black dot represents Higgsing of the $SU(N)$ flavor symmetry associated to at that puncture down to $U(1)$. Theory ${\cal U}_C$ is the conventional Seiberg dual theory while the theories ${\cal U}_{c^\prime}$ and ${\cal U}_s$ are new duals of the SQCD.
• Figure 5: A piece of the quiver.