Living on the walls of super-QCD

Abstract

We study BPS domain walls in four-dimensional $\mathcal{N}=1$ massive SQCD with gauge group $SU(N)$ and $F<N$ flavors. We propose a class of three-dimensional Chern-Simons-matter theories to describe the effective dynamics on the walls. Our proposal passes several checks, including the exact matching between its vacua and the solutions to the four-dimensional BPS domain wall equations, that we solve in the small mass regime. As the flavor mass is varied, domain walls undergo a second-order phase transition, where multiple vacua coalesce into a single one. For special values of the parameters, the phase transition exhibits supersymmetry enhancement. Our proposal includes and extends previous results in the literature, providing a complete picture of BPS domain walls for $F<N$ massive SQCD. A similar picture holds also for SQCD with gauge group $Sp(N)$ and $F<N+1$ flavors.

arXiv comment47 pages, 6 figures; v2: refs and clarifications added; v3: typos corrected, clarifications added

References in corpus (60)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Generalized Global Symmetries
• Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
• Lectures on supersymmetric gauge theories and electric-magnetic duality
• Reading between the lines of four-dimensional gauge theories
• Theta, Time Reversal, and Temperature
• On Classification of N=2 Supersymmetric Theories, (e-mail uncorrupted version)
• Branes And The Dynamics Of QCD
• Level/rank Duality and Chern-Simons-Matter Theories
• An M-theory Flop as a Large N Duality
• Comments on 3d Seiberg-like dualities
• Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric SP(N_c) Gauge Theories
• Domain Walls in Strongly Coupled Theories
• Baryons, monopoles and dualities in Chern-Simons-matter theories
• Exact Superpotentials in Four Dimensions
• Dynamical Compactification as a Mechanism of Spontaneous Supersymmetry Breaking
• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
• Comments on Global Symmetries, Anomalies, and Duality in (2+1)d
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• Supersymmetric Index Of Three-Dimensional Gauge Theory
• Domain Walls in Supersymmetric Yang-Mills Theories
• BPS-Saturated Walls in Supersymmetric Theories
• Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
• Geometry of N=1 Dualities in Four Dimensions
• Chirally Symmetric Phase of Supersymmetric Gluodynamics
• Phases Of Adjoint QCD${}_3$ And Dualities
• A Symmetry Breaking Scenario for QCD${}_3$
• Three-dimensional dualities with bosons and fermions
• More on Supersymmetric Domain Walls, N Counting and Glued Potentials
• Complex BPS domain walls and phase transition in mass in supersymmetric QCD
• BPS Domain Walls in Large N Supersymmetric QCD
• Domain Walls in Supersymmetric Yang-Mills Theories
• Three-dimensional gauge theories with supersymmetry enhancement
• Deconfinement at the Argyres-Douglas point in SU(2) gauge theory with broken N=2 supersymmetry
• Enhanced Worldvolume Supersymmetry and Intersecting Domain Walls in N=1 SQCD
• Topological Model for Domain Walls in (Super-)Yang-Mills Theories
• Spontaneous $CP$ breaking in QCD and the axion potential: an effective Lagrangian approach
• Domain walls in supersymmetric QCD: from weak to strong coupling
• $USp(2N_c)$ SQCD${}_3$ with antisymmetric: dualities and symmetry enhancements
• Curious Aspects of Three-Dimensional $\mathcal{N}=1$ SCFTs
• Counting Domain Walls in N=1 Super Yang-Mills Theory
• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• IR Dualities in General 3d Supersymmetric SU(N) QCD Theories
• QCD domain walls, Chern-Simons theories and holography
• Domain Walls Zoo in Supersymmetric QCD
• A master bosonization duality
• Bosonizing three-dimensional quiver gauge theories
• Dualities and Phases of 3D N=1 SQCD
• Domain walls in supersymmetric QCD: The taming of the zoo
• $\mathcal{N}=1$ dualities in 2+1 dimensions
• BPS and non-BPS Domain Walls in Supersymmetric QCD with SU(3) Gauge Group
• Brane Dynamics and 3D Seiberg Duality on the Domain Walls of 4D N=1 SYM
• Superconformal Models for Graphene and Boundary Central Charges
• Spin(7)-Manifolds as Generalized Connected Sums and 3d N=1 Theories
• An $\mathcal{N}=1$ 3d-3d Correspondence
• Sitting on the Domain Walls of N=1 Super Yang-Mills
• Domain Walls and the $CP$ Anomaly in Softly Broken Supersymmetric QCD
• Tenacious Domain Walls in Supersymmetric QCD
• Interactions of Domain Walls of SUSY Yang-Mills as D-Branes
• Domain Walls in Supersymmetric QCD

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• Anomalies in the Space of Coupling Constants and Their Dynamical Applications II
• Anomalies in the Space of Coupling Constants and Their Dynamical Applications I
• Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
• The Bi-Fundamental Gauge Theory in 3+1 Dimensions: The Vacuum Structure and a Cascade
• Anomaly matching in QCD thermal phase transition
• Large N Renormalization Group Flows in 3d $\mathcal{N}=1$ Chern-Simons-Matter Theories
• Supersymmetric Indices of 3d S-fold SCFTs
• Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow
• Generalized Giveon-Kutasov duality
• Supermembranes and domain walls in $\mathcal{N}=1$, $D=4$ SYM
• 3D Dualities and Supersymmetry Enhancement from Domain Walls
• On the Witten index of 3d $\mathcal{N}=2$ unitary SQCD with general CS levels
• Dualities of Adjoint QCD${}_3$ from Branes
• Confinement on ${\mathbb{R}}^3\times {\mathbb{S}}^1$ and Double-String Collapse
• Generalization of QCD${}_3$ Symmetry-Breaking and Flavored Quiver Dualities
• Phases of $\mathcal{N}=1$ Quivers in $2+1$ Dimensions
• Dualities of 3D $\mathcal{N}=1$ SQCD from Branes and non-SUSY deformations
• Interface Junctions in QCD${}_4$
• Domain walls in super Yang-Mills: worldvolume TQFTs and deconfinement from semiclassics on ${\mathbb{R}}^3\times {\mathbb{S}}^1$
• Mildly Flavoring Domain Walls in Sp(N) SQCD
• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories
• Two types of domain walls in $\mathcal{N}=1$ super-QCD: how they are classified and counted
• Degenerate Domain Walls in Supersymmetric Theories
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory