Enhanced Worldvolume Supersymmetry and Intersecting Domain Walls in N=1 SQCD

Abstract

We study the worldvolume dynamics of BPS domain walls in N=1 SQCD with N_f=N flavors, and exhibit an enhancement of supersymmetry for the reduced moduli space associated with broken flavor symmetries. We provide an explicit construction of the worldvolume superalgebra which corresponds to an N=2 Kahler sigma model in 2+1D deformed by a potential, given by the norm squared of a U(1) Killing vector, resulting from the flavor symmetries broken by unequal quark masses. This framework leads to a worldvolume description of novel two-wall junction configurations, which are 1/4-BPS objects, but nonetheless preserve two supercharges when viewed as kinks on the wall worldvolume.

arXiv comment35 pages, 3 figures; v2: minor corrections and a reference added, to appear in Phys. Rev. D

References in corpus (51)

• Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
• Vortices, Instantons and Branes
• On Classification of N=2 Supersymmetric Theories, (e-mail uncorrupted version)
• D-Branes And Mirror Symmetry
• Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Vortex Strings and Four-Dimensional Gauge Dynamics
• Branes And The Dynamics Of QCD
• Non-Abelian String Junctions as Confined Monopoles
• A New Supersymmetric Index
• Dynamics of $SU(N)$ Supersymmetric Gauge Theory
• Domain Walls in Strongly Coupled Theories
• Branes and N=2 Theories in Two Dimensions
• Monopoles in the Higgs Phase
• A Bogomol`nyi equation for intersecting domain walls
• Domain Walls in Supersymmetric Yang-Mills Theories
• On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions
• BPS-Saturated Walls in Supersymmetric Theories
• D-brane Solitons in Supersymmetric Sigma-Models
• Localization of Non-Abelian Gauge Fields on Domain Walls at Weak Coupling (D-brane Prototypes)
• Is Supersymmetry Really Broken?
• More on the Tensorial Central Charges in N=1 Supersymmetric Gauge Theories (BPS Wall Junctions and Strings)
• Low Energy Dynamics of N=2 Supersymmetric Monopoles
• Domain Wall Junctions are 1/4-BPS States
• An Exact Solution of BPS Domain Wall Junction
• Three-Dimensional Supergravity and the Cosmological Constant
• Complex BPS domain walls and phase transition in mass in supersymmetric QCD
• More on Supersymmetric Domain Walls, N Counting and Glued Potentials
• BPS Domain Walls in Large N Supersymmetric QCD
• Domain Walls in Supersymmetric Yang-Mills Theories
• Central Extensions of Supersymmetry in Four and Three Dimensions
• D-Walls and Junctions in Supersymmetric Gluodynamics in the Large N Limit Suggest the Existence of Heavy Hadrons
• On k-String Tensions and Domain Walls in N=1 Gluodynamics
• Domain walls in supersymmetric QCD: from weak to strong coupling
• Counting Domain Walls in N=1 Super Yang-Mills Theory
• Large N Domain Walls as D-branes for $\mathcal{N}=1$ QCD String
• Domain wall junctions in a generalized Wess-Zumino model
• Domain Walls Zoo in Supersymmetric QCD
• Calculating the tension of domain wall junctions and vortices in generalized Wess-Zumino models
• Low-Energy Dynamics of Supersymmetric Solitons
• Domain walls in supersymmetric QCD: The taming of the zoo
• BPS and non-BPS Domain Walls in Supersymmetric QCD with SU(3) Gauge Group
• Single State Supermultiplet in 1+1 Dimensions
• N=2 Sigma Model with Twisted Mass and Superpotential: Central Charges and Solitons
• An Exact Solution of BPS Junctions and Its Properties
• BPS Domain Walls in Supersymmetric QCD: Higher Unitary Groups
• Tenacious Domain Walls in Supersymmetric QCD
• Leaving the BPS bound: Tunneling of classically saturated solitons
• Domain Walls in Supersymmetric QCD
• BPS Domain Walls in super Yang-Mills and Landau-Ginzburg models
• Domain Walls in the Large N Limit

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• Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
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• Josephson vortices and the Atiyah-Manton construction
• Webs of Walls
• Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
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• Heterotic Flux Tubes in N=2 SQCD with N=1 Preserving Deformations
• Global Structure of Moduli Space for BPS Walls
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• Non-Abelian Flux Tubes in SQCD: Supersizing World-Sheet Supersymmetry
• Relations among topological solitons
• Effective Action of Domain Wall Networks
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• Baryonic sphere: a spherical domain wall carrying baryon number
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• Domain Lines as Fractional Strings
• Domain Walls and the $CP$ Anomaly in Softly Broken Supersymmetric QCD
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• Topological Defects in the Georgi-Machacek Model
• Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow
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• Non-BPS Brane Dynamics And Dual Tensor Gauge Theory
• Supersymmetric Tools in Yang-Mills Theories at Strong Coupling: the Beginning of a Long Journey
• 3D Dualities and Supersymmetry Enhancement from Domain Walls
• Superstring at the boundary of open supermembrane interacting with D=4 supergravity and matter supermultiplets
• On The Problem of the Quantum Heterotic Vortex
• Mildly Flavoring domain walls in SU(N) SQCD: baryons and monopole superpotentials
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• Two types of domain walls in $\mathcal{N}=1$ super-QCD: how they are classified and counted
• Mildly Flavoring Domain Walls in Sp(N) SQCD
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