Solitons in Noncommutative Gauge Theory
arXiv:hep-th/0010090 · doi:10.1088/1126-6708/2001/03/044
Abstract
We present a unified treatment of classical solutions of noncommutative gauge theories. We find all solutions of the noncommutative Yang-Mills equations in 2 dimensions; and show that they are labelled by two integers -- the rank of gauge group and the magnetic charge. The magnetic vortex solutions are unstable in 2+1 dimensions, but correspond to the full, stable BPS solutions of N=4 U(1) noncommutative gauge theory in 4 dimensions, that describes N infinite D1 strings that pierce a D3 brane at various points, in the presence of a background B field in the Seiberg-Witten limit. We discuss the behaviour of gauge invariant observables in the background of the solitons. We use these solutions to construct a panoply of BPS and non-BPS solutions of supersymmetric gauge theories that describe various configurations of D-branes. We analyze the instabilities of the non-BPS solutions. We also present an exact analytic solution of noncommutative gauge theory that describes a U(2) monopole.
37pp. harvmac big mode
References in corpus (4)
Cited by in corpus (117)
- Noncommutative Field Theory
- Quantum Field Theory on Noncommutative Spaces
- Introduction to M(atrix) theory and noncommutative geometry
- Introduction to M(atrix) theory and noncommutative geometry, Part II
- General Properties of Noncommutative Field Theories
- Split string field theory I
- Spectrum of Schroedinger field in a noncommutative magnetic monopole
- BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field
- Soliton gyroscopes in media with spatially growing repulsive nonlinearity
- Trieste lectures on solitons in noncommutative gauge theories
- D-branes as Solitons of an N=1, D=10 Non-commutative Gauge Theory
- The singular geometry of the sliver
- Noncommutative Vortex Solitons
- D-brane Construction for Non-Abelian Walls
- Geometry of the Gauge Algebra in Noncommutative Yang-Mills Theory
- Dualities, Twists, and Gauge Theories with Non-Constant Non-Commutativity
- Formation of Spherical D2-brane from Multiple D0-branes
- Integrable Noncommutative Sine-Gordon Model
- Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions
- Quiver Gauge Theory of Nonabelian Vortices and Noncommutative Instantons in Higher Dimensions
- Noncommutative Solitons and D-branes
- Teleparallel Gravity and Dimensional Reductions of Noncommutative Gauge Theory
- Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
- Seiberg-Witten Transforms of Noncommutative Solitons
- D-brane Solutions in Non-Commutative Gauge Theory on Fuzzy Sphere
- Drinfeld-Twisted Supersymmetry and Non-Anticommutative Superspace
- On Exact Noncommutative BPS Solitons
- Non-Commutative Instantons and the Seiberg-Witten Map
- Gauge Covariance of the Aharonov-Bohm Phase in Noncommutative Quantum Mechanics
- Traveling Faster than the Speed of Light in Non-Commutative Geometry
- Noncommutative Extended Waves and Soliton-like Configurations in N=2 String Theory
- The Stringy Quantum Hall Fluid
- Noncommutative Solitons on Orbifolds
- ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories
- Noncommutative Chern-Simons Solitons
- Strings between branes
- Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
- Gauge Theory on Fuzzy S^2 x S^2 and Regularization on Noncommutative R^4
- Moduli Space and Scattering of D0-Branes in Noncommutative Super Yang-Mills Theory
- Solitons in 2+1 Dimensional Non-Commutative Maxwell Chern-Simons Higgs Theories
- Noncommutative Monopoles and Riemann-Hilbert Problems
- Noncommutative scalar solitons: existence and nonexistence
- Stringy Derivation of Nahm Construction of Monopoles
- Sigma-Model Solitons in the Noncommutative Plane: Construction and Stability Analysis
- Elongated U(1) Instantons on Noncommutative R^4
- Fluxons and Exact BPS Solitons in Non-Commutative Gauge Theory
- The Existence and Stability of Noncommutative Scalar Solitons
- Non-commutative gauge theory on D-branes in Melvin Universes
- Interaction of Noncommutative Plane Waves in 2+1 Dimensions
- Solitons on compact and noncompact spaces in large noncommutativity
- Seiberg-Witten Monopole Equations on Noncommutative R^4
- Lectures on Two-Dimensional Noncommutative Gauge Theory 2: Quantization
- Open String/Open D-Brane Dualities: Old and New
- Instanton Number Calculus on Noncommutative R^4
- Morita Duality and Noncommutative Wilson Loops in Two Dimensions
- Fuzzy Instantons
- Noncommutative field theory description of quantum Hall skyrmions
- Classical Solutions of the TEK Model and Noncommutative Instantons in Two Dimensions
- Comments on Noncommutative Sigma Models
- Projective modules over the fuzzy four-sphere
- Topological Number of Edge States
- Localization for Yang-Mills Theory on the Fuzzy Sphere
- Dirac Quantization Condition for Monopole in Noncommutative Space-Time
- Noncommutative Multi-Instantons on R^{2n} x S^2
- Noncommutative Chern-Simons Soliton
- Spherically symmetric monopoles in noncommutative space
- Instanton Number of Noncommutative U(n) gauge theory
- The Decay of Unstable Noncommutative Solitons
- Discrete Nonlocal Waves
- Noncommutative solitons on Kahler manifolds
- On Noncommutative Merons and Instantons
- Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions
- Band spectrum is D-brane
- Tetrahedron instantons
- Global Defects In Theories With Lorentz Symmetry Violation
- Universal Higher-Order Topology from 5D Weyl semimetal: Edge topology, edge Hamiltonian and nested Wilson loop
- D0-D4 brane tachyon condensation to a BPS state and its excitation spectrum in noncommutative super Yang-Mills theory
- Troubles with Spacetime Noncommutative Theories: Tachyons or S-branes?
- Solitons for the fuzzy sphere from matrix model
- On Non Commutative Calabi-Yau Hypersurfaces
- Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories
- Jet substructure modification probes the QGP resolution length
- Topology of the Gauge Group in Noncommutative Gauge Theory
- NC Calabi-Yau Manifolds in Toric Varieties with NC Torus fibration
- Noncommutative Instantons in 4k Dimensions
- Transmogrifying Fuzzy Vortices
- Scalar Solitons on the Fuzzy Sphere
- Noncommutative Instantons in Diverse Dimensions
- Reverse Engineering ADHM Construction from Non-Commutative Instantons
- Noncommutative Fluids
- Non BPS noncommutative vortices
- A Note on Intersecting and Fluctuating Solitons in 4D Noncommutative Field Theory
- Toric Varieties with NC Toric Actions: NC Type IIA Geometry
- Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world
- A monopole solution from noncommutative multi-instantons
- Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4
- Noncommutative waves have infinite propagation speed
- Noncommutative Vortices and Instantons from Generalized Bose Operators
- Projector Equivalences in K theory and Families of Non-commutative Solitons
- Soliton on Noncommutative Orbifold
- Unstable solitons on noncommutative tori and D-branes
- Constant H field, cosmology and faster than light solitons
- Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons
- Non-Linear/Non-Commutative Non-Abelian Monopoles
- Field theoretic models on covariant quantum spaces
- Dressing chain equations associated to difference soliton systems
- Puffed Noncommutative Nonabelian Vortices
- Double Scaling String Theory of QCD in Two Dimensions
- Instantons, Fluxons and Open Gauge String Theory
- D-Branes in Noncommutative Field Theory
- Gauge theory solitons on noncommutative cylinder
- Domain walls between gauge theories
- NC Calabi-Yau Orbifolds in Toric Varieties with Discrete Torsion
- Dissolving D0-brane into D2-brane with background B-field
- Topics in Noncommutative Gauge Theories and Deformed Relativistic Theories
- The manifest covariant soliton solutions on noncommutative orbifold and
- Tachyon Condensation of D2/D4-Brane System in Noncommutative Gauge Theory