Sequential deconfinement and self-dualities in $4d$ $\mathcal{N}=1$ gauge theories

Abstract

We apply the technique of sequential deconfinement to the four dimensional $\mathcal{N}=1$ $Usp(2N)$ gauge theory with an antisymmetric field and $2F$ fundamentals. The fully deconfined frame is a length-$N$ quiver. We use this deconfined frame to prove the known self-duality of $Usp(2N)$ with an antisymmetric field and $8$ fundamentals. Along the way we encounter a subtlety: in certain quivers with degenerate holomorphic operators, a naive application of Seiberg duality rules leads to an incorrect superpotential or chiral ring. We also consider the reduction to $3d$ $\mathcal{N}=2$ theories, recovering known fully deconfined duals of $Usp(2N)$ and $U(N)$ gauge theories, and obtaining new ones.

arXiv comment38 pages, many figures; v2: minor corrections, references added, matches version accepted for publication in JHEP

References in corpus (37)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Mirror Symmetry in Three Dimensional Gauge Theories
• 3d dualities from 4d dualities
• IR Duality in d=3 N=2 Supersymmetric USp(2N_c) and U(N_c) Gauge Theories
• Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric SP(N_c) Gauge Theories
• On Duality in Supersymmetric Yang-Mills Theory
• A Comment on Duality in N=1 Supersymmetric Non -- Abelian Gauge Theories
• Chiral Rings, Singularity Theory and Electric-Magnetic Duality
• Confinement in N=1 SUSY Gauge Theories and Model Building Tools
• Lagrangians for generalized Argyres-Douglas theories
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• A Systematic Approach to Confinement in N=1 Supersymmetric Gauge Theories
• SUSY monopole potentials in 2+1 dimensions
• A "Lagrangian" for a non-Lagrangian theory
• The Dual of Supersymmetric SU(2k) with an Antisymmetric Tensor and Composite Dualities
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Exact Results and Duality for SP(2N) SUSY Gauge Theories with an Antisymmetric Tensor
• Rank $Q$ E-string on a torus with flux
• Self-Dual N=1 SUSY Gauge Theories
• From 3d dualities to 2d free field correlators and back
• $USp(2N_c)$ SQCD${}_3$ with antisymmetric: dualities and symmetry enhancements
• Patterns of Duality in N=1 SUSY Gauge Theories
• A tale of exceptional 3d dualities
• 3d dualities from 2d free field correlators: recombination and rank stabilization
• New N=1 dualities from orientifold transitions - Part I: Field Theory
• New N=1 dualities from orientifold transitions - Part II: String Theory
• 4d $S$-duality wall and $SL(2,\mathbb{Z})$ relations
• Monopole Quivers and new 3D N=2 dualities
• More on N=1 Self-Dualities and Exceptional Gauge Groups
• Mirror theories of 3d $\mathcal{N}=2$ SQCD
• Curious patterns of IR symmetry enhancement
• Between symmetry and duality in supersymmetric QFT
• Dualities from dualities: the sequential deconfinement technique
• N=1 Dualities for Exceptional Gauge Groups and Quantum Global Symmetries
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• Flips, dualities and symmetry enhancements
• Notes on Integral Identities for 3d Supersymmetric Dualities