Mirror theories of 3d $\mathcal{N}=2$ SQCD

Abstract

Using a recently proposed duality for $U(N)$ supersymmetric QCD (SQCD) in three dimensions with monopole superpotential, in this paper we derive the mirror dual description of $\mathcal{N}=2$ SQCD with unitary gauge group, generalizing the known mirror dual description of abelian gauge theories. We match the chiral ring of the dual theories and their partition functions on the squashed sphere. We also conjecture a generalization for SQCD with orthogonal and symplectic gauge groups.

52 pages, 1 figure and many diagrams. Typos corrected, several comments as well as Appendix A added. Published version in JHEP

References in corpus (8)

• Notes on SUSY Gauge Theories on Three-Sphere
• Defects and Quantum Seiberg-Witten Geometry
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• T^σ_ρ(G) Theories and Their Hilbert Series
• Coulomb branch Hilbert series and Hall-Littlewood polynomials
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Hanany-Witten effect and SL(2,Z) dualities in matrix models
• From 3d duality to 2d duality

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• Dualities for three-dimensional $\mathcal{N}=2$ $SU(N_c)$ chiral adjoint SQCD
• 3d Mirror Symmetry from S-duality
• Chiral 3d SU(3) SQCD and N=2 mirror duality
• New 3d $\mathcal{N}=2$ Dualities from Quadratic Monopoles
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• Branes, partition functions and quadratic monopole superpotentials
• Dualities for adjoint SQCD in three dimensions and emergent symmetries
• Compactifying 5d superconformal field theories to 3d
• Sequential deconfinement and self-dualities in $4d$ $\mathcal{N}=1$ gauge theories
• SUSY Breaking in Monopole Quivers