Trieste lectures on solitons in noncommutative gauge theories

Abstract

We present a pedagogical introduction into noncommutative gauge theories, their stringy origin, and non-perturbative effects, including monopole and instanton solutions

65 pp, Latex, sprocl.sty; v2. typos corrected, refs added

Cited by in corpus (59)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Introduction to M(atrix) theory and noncommutative geometry
• TASI Lectures on Solitons
• Towards Noncommutative Integrable Systems
• Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions
• Monopole Bundles over Fuzzy Complex Projective Spaces
• Noncommutative Solitons and D-branes
• Noncommutative Extended Waves and Soliton-like Configurations in N=2 String Theory
• Comments on the U(2) Noncommutative Instanton
• Noncommutative Solitons on Orbifolds
• Noncommutative Instantons on R^2_{NC} x R^2_C
• Low-Energy Dynamics of Noncommutative CP^1 Solitons in 2+1 Dimensions
• Particle-like solutions to classical noncommutative gauge theory
• Noncommutative Monopoles and Riemann-Hilbert Problems
• Comments on Noncommutative ADHM Construction
• Elongated U(1) Instantons on Noncommutative R^4
• Interaction of Noncommutative Plane Waves in 2+1 Dimensions
• Topological Charge of Noncommutative ADHM Instanton
• Non-Commutative Geometry from Strings
• Instanton Number Calculus on Noncommutative R^4
• Projective modules over the fuzzy four-sphere
• Branes and instantons intersecting at angles
• Noncommutative Supersymmetric/Integrable Models and String Theory
• Noncommutative solitons on Kahler manifolds
• Noncommutative Moduli for Multi-Instantons
• The ADHM Construction of Instantons on Noncommutative Spaces
• Noncommutative Cohomological Field Theory and GMS soliton
• Instantons on General Noncommutative R^4
• Noncommutative U(1) Instantons in Eight Dimensional Yang-Mills Theory
• Topology of the Gauge Group in Noncommutative Gauge Theory
• Tales of D0 on D6 Branes: Matrix Mechanics of Identical Particles
• ADHM Construction of (Anti-)Self-dual Instantons in $4n$ Dimensions
• Reverse Engineering ADHM Construction from Non-Commutative Instantons
• Noncommutative Deformation of Instantons
• Gauge Invariance and Noncommutativity
• Eight Dimensional Noncommutative Instantons and D0-D8 Bound States with B-field
• BPS Solutions of Noncommutative Gauge Theories in Four and Eight Dimensions
• Noncommutative Vortices and Instantons from Generalized Bose Operators
• Partition functions of Supersymmetric Gauge Theories in Noncommutative R^{2D} and their Unified Perspective
• From solitons to many-body systems
• Non-orientable string one-loop corrections in the presence of a B field
• Noncommutativity and Duality through the Symplectic Embedding Formalism
• Defects and type D relativistic Toda lattice for some 5d gauge theories
• On a deformed topological vertex
• The general form of the star-product on the Grassman algebra
• Some Notes Concerning the Dynamics of Noncommutative Lumps Corresponding to Nontrivial Vacua in Noncommutative Yang--Mills Models which are perturbative branches of M(atrix) Theory
• Quantization of Noncommutative Scalar Solitons at finite $\theta$
• On the ADHM construction of noncommutative U(2) k-instanton
• Electrodynamics in Non-commutative Curved Space Time
• Hermitian-Einstein metrics from noncommutative $U\left(1\right)$ instantons
• A Note on UV/IR Mixing and Non-Commutative Instanton Calculus
• NC Calabi-Yau Orbifolds in Toric Varieties with Discrete Torsion
• Scalar Field in Non-commutative Curved Space Time
• Topics in Noncommutative Gauge Theories and Deformed Relativistic Theories
• Noncommutative Cohomological Field Theories and Topological Aspects of Matrix models
• Cohomologies of superalgebra of pointwise superproduct
• Drinfeld-Manin Instanton and Its Noncommutative Generalization