N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter

TL;DR

The paper classifies and analyzes 4D $N=2$ linear quivers with USp ends or SU ends carrying antisymmetric matter by realizing them as compactifications of the 6D $A_{k-1}$ $(0,2)$ theory on punctured spheres. By rewriting Seiberg-Witten curves to expose the 6D origin, it studies degeneration limits to derive S-dual frames and dual quivers, including duals with ordinary SU chains and emergent $E_6$/$E_7$ SCFTs. It identifies a class of isolated SCFTs with either only odd ($D( ewphi) Ge3$) or only even ($D( ewphi) Ge4$) operator dimensions and demonstrates how familiar theories arise as degeneration limits. The work establishes a unified 6D perspective for these quivers, clarifies their duality structure, and suggests future directions such as mass deformations and extensions to other gauge groups.

Abstract

We consider the four dimensional scale invariant N=2 SU quiver gauge theories with USp(2N) ends or SU(2N) ends with antisymmetric matter representations. We argue that these theories are realized as six dimensional A_{2N-1} (0,2) theories compactified on spheres with punctures. With this realization, we can study various strongly coupled cusps in moduli space and find the S-dual theories. We find a class of isolated superconformal field theories with only odd dimensional operators $D(φ)\geq3$ and superconformal field theories with only even dimensional operators $D(φ)\geq4$.

Figures (18)

• Figure 1: a) A $N=2$ linear quiver with $N=4$; b) The Young Tableaux associated with left and right tail.
• Figure 2: a) Young Tableaux associated with the tail in a linear quiver gauge theory with $N=4$, $p_1=1-1=0$, $p_2=2-1=1$, $p_3=3-1=2$, $p_4=4-2=2$, the flavor symmetry is $SU(2)$; b) The punctured sphere for $(0,2)$$A_3$ theory compactification, each puncture is labeled by a Young-tableaux
• Figure 3: a) The fundamental domain of $H\over \Gamma(2)$. Here $H$ is the upper half plane, $\Gamma(2)$ is the duality group of a sphere with four punctures; b)The fundamental domain of $H/ SL(2,z)$.
• Figure 4: The various weakly coupled limit of SU(2) theory with four fundamental matter. The narrow strip denotes the weakly coupled SU(2) gauge group. The punctures are associated with flavor symmetry $SU(2)$.
• Figure 5: a) The weakly coupled SU(3) description, here the cross denotes $U(1)$ puncture and circle cross denotes $SU(3)$ puncture; b) Description with weakly coupled SU(2) gauge group