Galilean noncommutative gauge theory: symmetries & vortices

Abstract

Noncommutative Chern-Simons gauge theory coupled to nonrelativistic scalars or spinors is shown to admit the ``exotic'' two-parameter-centrally extended Galilean symmetry, realized in a unique way consistent with the Seiberg-Witten map. Nontopological spinor vortices and topological external-field vortices are constructed by reducing the problem to previously solved self-dual equations.

Updated version: some statements rephrased and further references added. LaTex, 17 pages, no figures

References in corpus (4)

• Covariant Coordinate Transformations on Noncommutative Space
• Galilean symmetry in noncommutative field theory
• Duality in non-commutative gauge theories as a non-perturbative Seiberg-Witten map
• Vortices in the Landau--Ginzburg Model of the Quantized Hall Effect

Cited by in corpus (15)

• Aspects of Phase-Space Noncommutative Quantum Mechanics
• Space-time symmetry of noncommutative field theory
• Exotic galilean symmetry and non-commutative mechanics
• A new approach to the analysis of a noncommutative Chern-Simons theory
• Interpolating Action for Strings and Membranes - a Study of Symmetries in the Constrained Hamiltonian Approach
• Moving vortices in noncommutative gauge theory
• Are Vortex Numbers Preserved?
• Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields
• Noncommutative Field Theory: Nonrelativistic Fermionic Field Coupled to the Chern-Simons Field in 2+1 Dimensions
• Nonrelativistic Supersymmetry in Noncommutative Space
• Remarks on the Formulation of Quantum Mechanics on Noncommutative Phase Spaces
• Lectures on (abelian) Chern-Simons vortices
• Noncommutative geometry induced by spin effects
• Symmetries of field theories on the non-commutative plane
• Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions