New Seiberg Dualities from N=2 Dualities

TL;DR

The paper introduces a broad family of new Seiberg dualities for ${\mathcal N}=1$ quiver gauge theories, stemming from S-dualities of ${\mathcal N}=2$ SCFTs proposed by Gaiotto. By mass-deforming the ${\mathcal N}=2$ S-duals, the authors flow to IR fixed points described by dual ${\mathcal N}=1$ theories and provide nontrivial consistency checks, including anomaly matching and a universal count of exactly marginal operators. A key concrete example is the generalized Klebanov–Witten theory and its dual, where chiral rings and non-linear meson constraints are shown to match across the dual pair. The results indicate a rich landscape of ${\mathcal N}=1$ SCFTs linked to ${\mathcal N}=2$ S-dual structures, with potential generalizations to higher-rank gauge groups and connections to Argyres–Douglas constructions.

Abstract

We propose a number of new Seiberg dualities of N=1 quiver gauge theories. The new Seiberg dualities originate in new S-dualities of N=2 superconformal field theories recently proposed by Gaiotto. N=2 S-dual theories deformed by suitable mass terms flow to our N=1 Seiberg dual theories. We show that the number of exactly marginal operators is universal for these Seiberg dual theories and the 't Hooft anomaly matching holds for these theories. These provide strong evidence for the new Seiberg dualities. Furthermore, we study in detail the Klebanov-Witten type theory and its dual as a concrete example. We show that chiral operators and their non-linear relations match between these theories. These arguments also give non-trivial consistency checks for our proposal.

Figures (7)

• Figure 1: The quiver diagram of $SU(2)$ gauge theory with four fundamental hypermultiplets.
• Figure 2: Two different quivers ${\mathcal{T}}_{1,2}$ which are related by the S-duality.
• Figure 3: The enhanced flavor symmetry of ${\mathcal{T}}_{1, 2}$. Both quivers have the $USp(4) \cong SO(5)$ flavor symmetry.
• Figure 4: The enhanced flavor symmetry of ${\mathcal{T}}_{2, 0}$. Both quivers have the $SO(2)$ flavor symmetry. On the left, upper and lower trifundamentals form a $SO(2)$ vector. In the middle, each trifundamental decomposes as $\textbf{2} \otimes \textbf{2} = \textbf{3} \oplus \textbf{1}$, as the ${\mathcal{T}}_{1, 2}$ case. It produces two fundamental chiral multiplets for the center node (right). Thus, the flavor symmetry is $SO(2)$.
• Figure 5: Possible degeneration limits of a sphere with four punctures, which correspond to the usual weak coupling limit and S-dual weak coupling descriptions.