All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation

Abstract

We obtain all possible solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield equation exactly, containing configurations made of walls, vortices and monopoles in the Higgs phase. We use supersymmetric U(N_C) gauge theories with eight supercharges with N_F fundamental hypermultiplets in the strong coupling limit. The moduli space for the composite solitons is found to be the space of all holomorphic maps from a complex plane to the wall moduli space found recently, the deformed complex Grassmann manifold. Monopoles in the Higgs phase are also found in U(1) gauge theory.

10 pages, 4 figures

References in corpus (2)

• Construction of Non-Abelian Walls and Their Complete Moduli Space
• Non-Abelian Walls in Supersymmetric Gauge Theories

Cited by in corpus (80)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Instantons in the Higgs Phase
• TASI Lectures on Solitons
• Non-Abelian Walls in Supersymmetric Gauge Theories
• Universal Reconnection of Non-Abelian Cosmic Strings
• On the moduli space of semilocal strings and lumps
• Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
• Non-Abelian duality from vortex moduli: a dual model of color-confinement
• Neutral bions in the $\mathbb{C}{P}^{N-1}$ model
• D-brane Construction for Non-Abelian Walls
• Skyrmions from Instantons inside Domain Walls
• Constructing Non-Abelian Vortices with Arbitrary Gauge Groups
• Josephson vortices and the Atiyah-Manton construction
• Webs of Walls
• Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes
• Creating vortons and three-dimensional skyrmions from domain wall annihilation with stretched vortices in Bose-Einstein condensates
• Global Structure of Moduli Space for BPS Walls
• Incarnations of Skyrmions
• Domain Walls with Non-Abelian Clouds
• Statistical Mechanics of Vortices from D-branes and T-duality
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Non-Abelian vortices and monopoles in SO(N) theories
• Intersecting Solitons, Amoeba and Tropical Geometry
• Effective World-Sheet Theory for Non-Abelian Semilocal Strings in N = 2 Supersymmetric QCD
• Colorful boojums at the interface of a color superconductor
• Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories
• Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry
• Fractional Vortices and Lumps
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Confined Monopoles Induced by Quantum Effects in Dense QCD
• Interactions of Non-Abelian Global Strings
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Analogues of D-branes in Bose-Einstein condensates
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Relations among topological solitons
• Non-Abelian Monopoles in the Higgs Phase
• Effective Action of Domain Wall Networks
• Dynamics of Strings between Walls
• Fractional and semi-local non-Abelian Chern-Simons vortices
• Non-Abelian Global Strings at Chiral Phase Transition
• Non-Abelian Global Vortices
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Static Interactions of non-Abelian Vortices
• The Moduli Space Metric for Well-Separated Non-Abelian Vortices
• Group Theory of Non-Abelian Vortices
• Manifestations of magnetic vortices in equation of state of Yang-Mills plasma
• Chiral Magnets from String Theory
• Non-Abelian vortices in Chern-Simons theories and their induced effective theory
• Effective field theories on solitons of generic shapes
• Instantons confined by monopole strings
• BPS and non-BPS kinks in a massive non-linear S^2-sigma model
• Knots from wall--anti-wall annihilations with stretched strings
• D-brane solitons in various dimensions
• Gravitating p-Branes
• Walls of massive Kähler sigma models on SO(2N)/U(N) and Sp(N)/U(N)
• Coexistence phase of ${}^1{S}_0$ and ${}^3{P}_2$ superfluids in neutron stars
• Non-BPS Brane Dynamics And Dual Tensor Gauge Theory
• Soliton Junctions in the Large Magnetic Flux Limit
• Non-integrability of Self-dual Yang-Mills-Higgs System
• Solitons in Supersymmetric Gauge Theories
• Exhausting all exact solutions of BPS domain wall networks in arbitrary dimensions
• Vacua and walls of mass-deformed Kähler nonlinear sigma models on $SO(2N)/U(N)$
• Exact solutions of domain wall junctions in arbitrary dimensions
• Alice meets Boojums in neutron stars: vortices penetrating two-flavor quark-hadron continuity
• Superconformal R-charges and dyon multiplicities in N=2 gauge theories
• Domain walls and fermion scattering in Grand Unified models
• Supersymmetric Q-Lumps in the Grassmannian nonlinear sigma models
• Dynamics of Strings between Domain Walls
• Are Preons Dyons? Naturalness of Three Generations
• Superconducting and Spinning Non-Abelian Flux Tubes
• Solitonic ground state in supersymmetric theory in background
• Zero-modes of Non-Abelian Solitons in Three Dimensional Gauge Theories
• Effective Action of Non-Abelian Monopole-Vortex Complex
• Quantum SUSY Algebra of $Q$-lumps in the Massive Grassmannian Sigma Model
• 1/2-BPS vortex strings in $\mathcal{N}=2$ supersymmetric $\mathrm{U}(1{)}^N$ gauge theories
• Magnetic D-brane solitons: skyrmion strings ending on a Néel wall in chiral magnets
• Effective Lagrangian of Domain Wall Networks
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory
• Domain Walls, The Extended Superconformal Algebra, and The Supercurrent
• The moduli space of non-Abelian vortices in Yang-Mills-Chern-Simons-Higgs theory