On Level Quantization for the Noncommutative Chern-Simons Theory

Abstract

We show that the coefficient of the three-dimensional Chern-Simons action on the noncommutative plane must be quantized. Similar considerations apply in other dimensions as well.

6 pages, Latex, no figures

Cited by in corpus (79)

• Quantum Field Theory on Noncommutative Spaces
• Symmetry, Gravity and Noncommutativity
• Topics in Noncommutative Geometry Inspired Physics
• Exact Seiberg-Witten Map, Induced Gravity and Topological Invariants in Noncommutative Field Theories
• Chern-Simons Theories on Noncommutative Plane
• Geometry of the Gauge Algebra in Noncommutative Yang-Mills Theory
• Three-dimensional Noncommutative Gravity
• Noncommutative Gravity in two Dimensions
• Phases in noncommutative quantum mechanics on (pseudo)sphere
• Magnetic Backgrounds and Noncommutative Field Theory
• Poincare covariant mechanics on noncommutative space
• LLL vs. LLM: Half BPS Sector of N=4 SYM Equals to Quantum Hall System
• Gravitational fields on a noncommutative space
• A Note on Noncommutative Chern-Simons Theories
• The Fuzzy Disc
• Quantum mechanics on noncommutative plane and sphere from constrained systems
• Newton's Equation on the kappa space-time and the Kepler problem
• $\kappa$-deformed Dirac Equation
• Absence of the Holographic Principle in Noncommutative Chern-Simons Theory
• Morita Duality and Large-N Limits
• ALE spaces from noncommutative U(1) instantons via exact Seiberg-Witten map
• Matrix Model Description of Laughlin Hall States
• Galilean noncommutative gauge theory: symmetries & vortices
• Issues of duality on non-commutative manifolds: the {\it non-equivalence} between self-dual and topologically massive models
• Charge and Current in the Quantum Hall Matrix Model
• Lorentz and CPT symmetries in commutative and noncommutative spacetime
• Lectures on Two-Dimensional Noncommutative Gauge Theory 2: Quantization
• 5D action for longitudinal five branes on a pp-wave
• Chiral Bosons in Noncommutative Spacetime
• Jain States in a Matrix Theory of the Quantum Hall Effect
• Dynamics of Giant-Gravitons in the LLM geometry and the Fractional Quantum Hall Effect
• Constant magnetic field and 2d non-commutative inverted oscillator
• Lattice Perturbation Theory in Noncommutative Geometry and Parity Anomaly in 3D Noncommutative QED
• 3D N=2 massive super Yang-Mills and membranes/D2-branes in a curved background
• W-Infinity Algebras from Noncommutative Chern-Simons Theory
• Edge States from Defects on the Noncommutative Plane
• Hall viscosity and geometric response in the Chern-Simons matrix model of the Laughlin states
• Fractional quantum Hall effect on the two-sphere: a matrix model proposal
• Computing noncommutative Chern-Simons theory radiative corrections on the back of an envelope
• Consistent Interactions of the 2+1 Dimensional Noncommutative Chern-Simons Field
• Quantum aspects of Seiberg-Witten map in noncommutative Chern-Simons theory
• On a Matrix Model of Level Structure
• Lowest Landau level theory of the bosonic Jain states
• Maxwell-Chern-Simons Theory is Free for Marginally Noncommutative Spacetimes
• Noncommutative $Ad{S}^3$ with Quantized Cosmological Constant
• Matrix Models
• NC Effective Gauge Model for Multilayer FQH States
• Description of identical particles via gauged matrix models : a generalization of the Calogero-Sutherland system
• Supersymmetric non-Abelian noncommutative Chern-Simons theory
• Topology of the Gauge Group in Noncommutative Gauge Theory
• Superconformal Yang-Mills quantum mechanics and Calogero model with OSp(N|2,R) symmetry
• Noncommutative massive Thirring model in three-dimensional spacetime
• Noncommutative Fluids
• Edge excitations of the Chern Simons matrix theory for the FQHE
• Duality in non-commutative gauge theories as a non-perturbative Seiberg-Witten map
• A note on the topological order of noncommutative Hall fluids
• Induced magnetic moment in noncommutative Chern-Simons scalar QED
• Finite Temperature effects on the Induced Chern-Simons term in noncommutative geometry
• Poisson Chern-Simons Gauge Theory
• On Gauge Invariance of Noncommutative Chern-Simons Theories
• Solitons and Quasielectrons in the Quantum Hall Matrix Model
• Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons
• Matrix Effective Theories of the Fractional Quantum Hall effect
• Semiclassical Droplet States in Matrix Quantum Hall Effect
• Twisted Conformal Field Theories and Morita equivalence
• On plane wave and vortex-like solutions of noncommutative Maxwell-Chern-Simons theory
• About the self-dual Chern-Simons system and Toda field theories on the noncommutative plane
• Solitons in a Grassmannian sigma-model Coupled to Chern-Simons Term
• BTZ Black Hole Entropy from a Chern-Simons Matrix Model
• Paired quantum Hall states on noncommutative two-tori
• Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model
• Matrix oscillator and Laughlin Hall states
• Noncommutative Wess-Zumino-Witten actions and their Seiberg-Witten invariance
• Noncommutative Extension of Minkowski Spacetime and Its Primary Application
• Seiberg-Witten map and topology
• Solitons in finite droplets of noncommutative Maxwell-Chern-Simons theory
• Fermions in $(1+2)$-dimensions modified by nonminimal coupling and its applications to condensed matter physics
• One-loop Renormalized Coefficient of Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories in Three Dimensions
• Chern-Simons Solitons, Chiral Model, and (affine) Toda Model on Noncommutative Space