The CP(n) Model on Noncommutative Plane

Abstract

We construct the consistent CP(n) model on noncommutative plane. The Bogomolny bound on the energy is saturated by (anti-)self-dual solitons with integer topological charge, which is independent of their scaling and orientation. This integer quantization is satisfied for our general solutions, which turns out regular everywhere. We discuss the possible implication of our result to the instanton physics in Yang-Mills theories on noncommutative R^4.

v3: 14 pages, Latex, Published version in Phys. Lett. B

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Cited by in corpus (36)

• Noncommutative Field Theory
• Vortices, Instantons and Branes
• Introduction to M(atrix) theory and noncommutative geometry
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Noncommutative Vortex Solitons
• Chern-Simons Theories on Noncommutative Plane
• Integrable Noncommutative Sine-Gordon Model
• Noncommutative Extended Waves and Soliton-like Configurations in N=2 String Theory
• Comments on the U(2) Noncommutative Instanton
• Noncommutative Chern-Simons Solitons
• Static properties of chiral models with SU(3) group structure
• Low-Energy Dynamics of Noncommutative CP^1 Solitons in 2+1 Dimensions
• Energy Crisis or a New Soliton in the Noncommutative CP(1) Model?
• Noncommutative field theory description of quantum Hall skyrmions
• Comments on Noncommutative Sigma Models
• Noncommutative Chern-Simons Soliton
• New BPS Solitons in 2+1 Dimensional Noncommutative CP^1 Model
• CP^n Model on Fuzzy Sphere
• Topological Solitons in Noncommutative Plane and Quantum Hall Skyrmions
• On Noncommutative Merons and Instantons
• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions
• O(3) Sigma model with Hopf term on Fuzzy Sphere
• Lost equivalence of nonlinear sigma and $C{P}^1$ models on noncommutative space
• Transmogrifying Fuzzy Vortices
• General classical solutions in the noncommutative CP^(N-1) model
• Non-commutative Duality: High Spin Fields and $C{P}^1$ Model with Hopf Term
• $C{P}^{(N-1)}$ model in aether-superspace
• Strangeness and charm signatures in A+A collisions
• Solitons of Sigma Model on Noncommutative Space as Solitons of Electron System
• Noncommutative Nonlinear Sigma Models and Integrability
• Solitons in a Grassmannian sigma-model Coupled to Chern-Simons Term
• The Noncommutative Ward Metric
• Noncommutative Q-Lumps
• Chern-Simons Solitons, Chiral Model, and (affine) Toda Model on Noncommutative Space
• On the energy crisis in noncommutative CP(1) model