$\mathcal{N}=1$ dualities in 2+1 dimensions

Abstract

We consider minimally supersymmetric QCD in 2+1 dimensions, with Chern-Simons and superpotential interactions. We propose an infrared $SU(N)\leftrightarrow U(k)$ duality involving gauge-singlet fields on one of the two sides. It shares qualitative features both with 3d bosonization and with 4d Seiberg duality. We provide a few consistency checks of the proposal, mapping the structure of vacua and performing perturbative computations in the $\epsilon$-expansion.

32 pages

References in corpus (18)

• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Level/rank Duality and Chern-Simons-Matter Theories
• Seiberg Duality in Chern-Simons Theory
• Mirrors of 3d Sicilian theories
• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Emergence of supersymmetry at a critical point of a lattice model
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
• Phases Of Adjoint QCD${}_3$ And Dualities
• More Abelian Dualities in 2+1 Dimensions
• Three-dimensional dualities with bosons and fermions
• Time-Reversal Symmetry, Anomalies, and Dualities in (2+1)$d$
• Superconformal Chern-Simons Theories and the Squashed Seven Sphere
• Decoding a Three-Dimensional Conformal Manifold
• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• A master bosonization duality
• Spin(7) duality for N=1 CS-matter theories

Cited by in corpus (23)

• M-theoretic Genesis of Topological Phases
• Large N Renormalization Group Flows in 3d $\mathcal{N}=1$ Chern-Simons-Matter Theories
• Easy-plane QED${}_3$'s in the large $N_f$ limit
• Exceptional Chern-Simons-Matter Dualities
• Living on the walls of super-QCD
• Localization of 4d $\mathcal{N}=1$ theories on ${\mathbb{D}}^2\times {\mathbb{T}}^2$
• Seeking SUSY fixed points in the $4-\epsilon$ expansion
• N=1 QED in 2+1 dimensions: Dualities and enhanced symmetries
• Infrared phases of 3D Class R theories
• Evidence for 3d bosonization from monopole operators
• 3D Dualities and Supersymmetry Enhancement from Domain Walls
• Duality Web on a 3D Euclidean Lattice and Manifestation of Hidden Symmetries
• Geometric Approach to 3D Interfaces at Strong Coupling
• 3d $\mathcal{N}=3$ Generalized Giveon-Kutasov Duality
• Five loop renormalization of the Wess-Zumino model
• Phases of $\mathcal{N}=1$ Quivers in $2+1$ Dimensions
• Generalized Euler Index, Holonomy Saddles, and Wall-Crossing
• Full Phase Diagram of a UV Completed $\mathcal{N}=1$ Yang-Mills-Chern-Simons Matter Theory
• Dualities of 3D $\mathcal{N}=1$ SQCD from Branes and non-SUSY deformations
• Critical properties of three-dimensional many-flavour QEDs
• Emergent Supersymmetry at Large $N$
• Mildly Flavoring Domain Walls in Sp(N) SQCD
• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories