Gauge Theory on Noncommutative Spaces

Abstract

We introduce a formulation of gauge theory on noncommutative spaces based on the concept of covariant coordinates. Some important examples are discussed in detail. A Seiberg-Witten map is established in all cases.

16 pages

References in corpus (1)

• Noncommutative Yang-Mills from equivalence of star products

Cited by in corpus (398)

• Quantum Field Theory on Noncommutative Spaces
• Quantum Spacetime Phenomenology
• A Gravity Theory on Noncommutative Spaces
• Noncommutative Gravitational Quantum Well
• Emergent Geometry and Gravity from Matrix Models: an Introduction
• Symmetry, Gravity and Noncommutativity
• General Properties of Noncommutative Field Theories
• Signals for Non-Commutative Interactions at Linear Colliders
• Review of the Phenomenology of Noncommutative Geometry
• Bounding Noncommutative QCD
• Perfect Fluid Theory and its Extensions
• Coproduct and star product in field theories on Lie-algebra non-commutative space-times
• Nonabelian noncommutative gauge theory via noncommutative extra dimensions
• Noncommutative General Relativity
• Deformed Field Theory on kappa-spacetime
• Non-Commutative GUTs, Standard Model and C,P,T
• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Emergent Gravity from Noncommutative Gauge Theory
• T-duality and closed string non-commutative (doubled) geometry
• Noncommutative Inspired Black Holes in Extra Dimensions
• Cosmological perturbations and short distance physics from Noncommutative Geometry
• Deformed Coordinate Spaces; Derivatives
• Noncommutative Yang-Mills from equivalence of star products
• The Search for Quantum Gravity Signals
• The Z -> gamma gamma, gg Decays in the Noncommutative Standard Model
• The photon-neutrino interaction in non-commutative gauge field theory and astrophysical bounds
• Improved limit on quantum-spacetime modifications of Lorentz symmetry from observations of gamma-ray blazars
• Noncommutative gauge theory for Poisson manifolds
• Emergent Gravity from Noncommutative Spacetime
• Topics in Noncommutative Geometry Inspired Physics
• Induced Gauge Theory on a Noncommutative Space
• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Gauge theories on the kappa-Minkowski spacetime
• Renormalization of noncommutative U(N) gauge theories
• Towards Quantum Noncommutative $\kappa$-deformed Field Theory
• Lorentz and CPT Invariance Violation In High-Energy Neutrinos
• Determination of the Atmospheric Neutrino Flux and Searches for New Physics with AMANDA-II
• The Standard Model on Non-Commutative Space-Time: Electroweak Currents and Higgs Sector
• Exact Solutions with Noncommutative Symmetries in Einstein and Gauge Gravity
• Noncommutative Gauge Theory without Lorentz Violation
• Black hole thermodynamics in the presence of nonlinear electromagnetic fields
• Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry
• Finite Gauge Theory on Fuzzy CP^2
• The Fuzzy Ginsparg-Wilson Algebra: A Solution of the Fermion Doubling Problem
• Supersymmetry in noncommutative superspaces
• Hopf-algebra description of noncommutative-spacetime symmetries
• The Standard Model on Non-Commutative Space-Time: Strong Interactions Included
• Generation of circular polarization of the CMB
• Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
• Probing the Noncommutative Standard Model at Hadron Colliders
• Lie algebraic Noncommutative Gravity
• Anomaly freedom in Seiberg-Witten noncommutative gauge theories
• Construction of $\theta$-Poincaré Algebras and their Invariants on ${\mathcal{M}}_{\theta }$
• Dimensional Reduction over Fuzzy Coset Spaces
• Renormalizability of noncommutative SU(N) gauge theory
• Geometry of the Gauge Algebra in Noncommutative Yang-Mills Theory
• Chern-Simons Theories on Noncommutative Plane
• Quantum Gravity, Field Theory and Signatures of Noncommutative Spacetime
• The one-loop renormalization of the gauge sector in the noncommutative standard model
• Generalized Weyl systems and kappa-Minkowski space
• Remarks on the Noncommutative Gravitational Quantum Well
• Fractional and noncommutative spacetimes
• Dirac spinors for Doubly Special Relativity and $\kappa$-Minkowski noncommutative spacetime
• M-Theory on Deformed Superspace
• Non-Commutativity and Unitarity Violation in Gauge Boson Scattering
• The Gauge Anomaly and the Seiberg-Witten Map
• Quantum mechanics on noncommutative Riemann surfaces
• Spacetime and Fields, a Quantum Texture
• Noncommutative D-Brane in Non-Constant NS-NS B Field Background
• On The Correspondence Between Noncommuative Field Theory And Gravity
• Orbifolds, fuzzy spheres and chiral fermions
• Noncommutative Topological Theories of Gravity
• Representations of noncommutative quantum mechanics and symmetries
• What are the Bounds on Space-Time Noncommutativity?
• $\kappa$-Minkowski Spacetime Through Exotic "Oscillator"
• Perturbative Analysis of the Seiberg-Witten Map
• Phenomenology of Particle Production and Propagation in String-Motivated Canonical Noncommutative Spacetime
• Construction of Gauge Theories on Curved Noncommutative Spacetime
• Noncommutative gravity coupled to fermions: second order expansion via Seiberg-Witten map
• A no-pure-boost uncertainty principle from spacetime noncommutativity
• Seiberg--Witten Maps to All Orders
• CP violation from noncommutative geometry
• Derivatives, forms and vector fields on the kappa-deformed Euclidean space
• Seiberg-Witten-type Maps for Currents and Energy-Momentum Tensors in Noncommutative Gauge Theories
• Spacetime noncommutativity and ultra-high energy cosmic ray experiments
• Emergent Spacetime and The Origin of Gravity
• Non-commutative SU(N) gauge theories and asymptotic freedom
• Comments on the Energy-Momentum Tensor in Non-Commutative Field Theories
• Noncommutative Lorentz Symmetry and the Origin of the Seiberg-Witten Map
• Comment on triple gauge boson interactions in the non-commutative electroweak sector
• D-brane Solutions in Non-Commutative Gauge Theory on Fuzzy Sphere
• 8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory
• Quantum Mechanics on Noncommutative Spacetime
• Quarkonia decays into two photons induced by the space-time non-commutativity
• Noncommutative Quantum Scattering in a Central Field
• Space-Time Symmetries of Noncommutative Spaces
• Non-Commutative Geometry and Twisted Conformal Symmetry
• Covariant Realization of Quantum Spaces as Star Products by Drinfeld Twists
• Noncommutative gravity at second order via Seiberg-Witten map
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• Effective Field Theories on Non-Commutative Space-Time
• The UV/IR Interplay in Theories with Space-time Varying Non-commutativity
• A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills
• Integrable twists in AdS/CFT
• Seiberg-Witten maps from the point of view of consistent deformations of gauge theories
• Constraining spacetime noncommutativity with primordial nucleosynthesis
• Photon Neutrino Scattering in Non-Commutative Space
• Deformed QED via Seiberg-Witten Map
• Quantisation of θ-expanded non-commutative QED
• $\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
• Phenomenology of Lorentz-Conserving Noncommutative QED
• Ultra-high neutrino fluxes as a probe for non-standard physics
• Higher-spin Chern-Simons theories in odd dimensions
• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• The Energy-momentum of a Poisson structure
• Instantons and Emergent Geometry
• Lorentz Conserving Noncommutative Standard Model
• Braided quantum field theories and their symmetries
• Quantum Geometry on Quantum Spacetime: Distance, Area and Volume Operators
• Parton Model in Lorentz Invariant Non-Commutative Space
• On the quantum structure of space-time, gravity, and higher spin in matrix models
• Unusual High-Energy Phenomenology of Lorentz-Invariant Noncommutative Field Theories
• A twisted look on kappa-Minkowski: U(1) gauge theory
• Twisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle
• Noncommutative Planar Particle Dynamics with Gauge Interactions
• Semi-Leptonic Decay of a Polarized Top Quark in the Noncommutative Standard Model
• Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation
• Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory
• The one-loop effective action for quantum electrodynamics on noncomutative space
• Noncommutative gauge theories and Lorentz symmetry
• The energy-momentum tensor on noncommutative spaces - some pedagogical comments
• On the Space-Time Symmetries of Non-Commutative Gauge Theories
• Computing the θ-exact Seiberg-Witten map for arbitrary gauge groups
• kappa-Minkowski representations on Hilbert spaces
• Gauge theories on quantum spaces
• $t\to bW$ in NonCommutative Standard Model
• The noncommutative U(1) Higgs-Kibble model in the enveloping-algebra formalism and its renormalizability
• Deformation of the ABJM Theory
• Photon-neutrino interaction in theta-exact covariant noncommutative field theory
• Interplay between curvature and Planck-scale effects in astrophysics and cosmology
• On non-commutative N=2 super Yang-Mills
• Discreteness of area in noncommutative space
• Non-renormalizability of noncommutative SU(2) gauge theory
• Massive Neutrino in Non-commutative Space-time
• Second order expansions of action functionals of noncommutative gauge theories
• Noncommutative Synchrotron
• Electromagnetic interactions of higher dimensional quantum Hall droplets
• Noncommutative Differential Calculus for D-brane in Non-Constant B Field Background
• Chiral fermions in noncommutative electrodynamics: renormalizability and dispersion
• Noncommutative gauge theories on ${\mathbb{R}}_{\theta }^2$ as matrix models
• q-Integration on Quantum Spaces
• Triple Neutral Gauge Boson Couplings in Noncommutative Standard Model
• Twisted Covariant Noncommutative Self-dual Gravity
• Complex Gravity and Noncommutative Geometry
• Diffuse Ultra-High Energy Neutrino Fluxes and Physics Beyond the Standard Model
• Can noncommutative effects account for the present speed up of the cosmic expansion?
• Telltale Traces of U(1) Fields in Noncommutative Standard Model Extensions
• On UV/IR mixing in noncommutative gauge field theories
• Scalar field theories in a Lorentz-invariant three-dimensional noncommutative space-time
• The $\kappa$-Newtonian and $\kappa$-Carrollian algebras and their noncommutative spacetimes
• Non-commutative deformation of Chern-Simons theory
• Noncommutative fermions and quarkonia decays
• Discerning Noncommutative Extra Dimensions
• Noncommutative Electromagnetism As A Large N Gauge Theory
• Supersymmetric Quantum Mechanics on Non-Commutative Plane
• The Higgs Mass, Superconnections and the TeV-scale Left-Right Symmetric Model
• Four-dimensional Gravity on a Covariant Noncommutative Space
• Matrix Bases for Star Products: a Review
• A New Noncommutative Product on the Fuzzy Two-Sphere Corresponding to the Unitary Representation of SU(2) and the Seiberg-Witten Map
• Noncommutative QFT and Renormalization
• The BV Formalization of Chern-Simons Theory on Deformed Superspace
• Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
• The $AdS$ particle
• $k$-Minkowski-deformation of $U(1)$ gauge theory
• The Z--> l^+ l^- and W--> nu_l l^+ decays in the noncommutative standard model}}
• Poisson gauge theory
• Quantum Field Theory on Quantum Spacetime
• Comments on Noncommutative Gauge Theories
• Bosonization of the lowest Landau level in arbitrary dimensions: edge and bulk dynamics
• Noncommutative line bundle and Morita equivalence
• Light-by-Light Scattering and Spacetime Noncommutativity
• $\kappa$-Deformations and Extended $\kappa$-Minkowski Spacetimes
• Chiral effective potential in $\mathcal{N}=1/2$ non-commutative Wess-Zumino model
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• Non-commutative gauge theory on D-branes in Melvin Universes
• Noncommutative Field Theory on Homogeneous Gravitational Waves
• Particle phenomenology on noncommutative spacetime
• Non-Commutative Geometry from Strings
• OSp(1|4) supergravity and its noncommutative extension
• Can Seiberg-Witten Map Bypass Noncommutative Gauge Theory No-Go Theorem?
• Structure of the Three-dimensional Quantum Euclidean Space
• Quantum Electrodynamics on Noncommutative Spacetime
• The Seiberg-Witten Map for a Time-dependent Background
• Deformed Bialgebra of Diffeomorphisms
• A novel approach to non-commutative gauge theory
• $\kappa$-Minkowski star product in any dimension from symplectic realization
• Field theory amplitudes in a space with SU(2) fuzziness
• Singlet particles as cold dark matter in noncommutative space-time
• The low energy limit of the non-commutative Wess-Zumino model
• Four-Dimensional Gravity on a Covariant Noncommutative Space (II)
• Noncommutativity and Reparametrisation symmetry
• Field theories on spaces with linear fuzziness
• Free q-Deformed Relativistic Wave Equations by Representation Theory
• Effects of Lorentz violation through the $\gamma e\to W{\nu }_e$ process in the Standard Model Extension
• On Lie-algebraic solutions of the type IIB matrix model
• Remarks on the 2nd order Seiberg-Witten maps
• Curvature and Gravity Actions for Matrix Models II: the case of general Poisson structure
• Noncommutative gauge fields coupled to noncommutative gravity
• Localization for Yang-Mills Theory on the Fuzzy Sphere
• Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
• Poisson gauge models and Seiberg-Witten map
• Photon self-interaction on deformed spacetime
• Four-dimensional N=1 super Yang-Mills from matrix model
• Towards an explicit expression of the Seiberg-Witten map at all orders
• Seiberg-Witten maps and scattering amplitudes of NCQED
• The Energy-Momentum Tensor in Noncommutative Gauge Field Models
• Loop diagrams in space with SU(2) fuzziness
• Building a case for a Planck-scale-deformed boost action: the Planck-scale particle-localization limit
• Entanglement Entropy Renormalization for the NC scalar field coupled to classical BTZ geometry
• Noncommutative Gauge Theory and Gravity in Three Dimensions
• Gauging the twisted Poincare symmetry as noncommutative theory of gravitation
• Universal $\kappa$-Poincaré covariant differential calculus over $\kappa$-Minkowski space
• Renormalizability and Phenomenology of theta-expanded Noncommutative Gauge Field Theory
• Chern-Simons Hadronic Bag from Quenched Large-N QCD
• Lorentz-violating effects on pair production of W bosons in photon collisions
• SL(2,C) gravity on noncommutative space with Poisson structure
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• Explicit Derivation of Yang-Mills Self-Dual Solutions on non-Commutative Harmonic Space
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• Operator Representations on Quantum Spaces
• Generalized uncertainty principle in graphene
• The Noncommutative Standard Model and Polarization in Charged Gauge Boson Production at the LHC
• Analysis on q-deformed quantum spaces
• Star Product and Invariant Integration for Lie type Noncommutative Spacetimes
• On the 5D differential calculus and translation transformations in 4D kappa-Minkowski noncommutative spacetime
• A new approach to the analysis of a noncommutative Chern-Simons theory
• Seiberg-Witten map Invariant Scatterings
• Analytical Solution of (2+1) Dimensional Dirac Equation in Time-Dependent Noncommutative Phase-Space
• $L_{\infty }$-Bootstrap Approach to Non-Commutative Gauge Theories
• Ambiguities of the Seiberg-Witten map in the presence of matter field
• On the Vacuum Cherenkov Radiation in Noncommutative Electrodynamics and the Elusive Effects of Lorentz Violation
• The inclusive b -> s γdecay in the noncommutative standard model
• q-Exponentials on quantum spaces
• Noncommuting Gauge Fields as a Lagrange Fluid
• Implications of Lorentz violation on Higgs-mediated lepton flavor violation
• Single Extra Dimension from $\kappa$-Poincaré and Gauge Invariance
• The decay $b\to s\gamma$ in the presence of a constant antisymmetric tensor field
• BFV-BRST analysis of equivalence between noncommutative and ordinary gauge theories
• Matrix theory compactifications on twisted tori
• Yukawa terms in noncommutative SO(10) and E6 GUTs
• Preon models, relativity, quantum mechanics and cosmology (I)
• On the Newtonian limit of emergent NC gravity and long-distance corrections
• Single top quark production in $t$-channel at the LHC in Noncommutative Space-Time
• Noncommutative Geometry as a Regulator
• The three "layers" of graphene monolayer and their analog generalized uncertainty principles
• Quantum mechanics on space with SU(2) fuzziness
• SO(10) GUTs with large tensor representations on Noncommutative Space-time
• Poisson structure on a space with linear SU(2) fuzziness
• Noncommutative Finsler Geometry, Gauge Fields and Gravity
• Noncommutative Standard Model in Top Quark Sector
• On divergent 3-vertices in noncommutative SU(2)gauge theory
• Noncommutative electrodynamics and ultra high energy gamma rays
• Noncommutative SU(N) and Gauge Invariant Baryon Operator
• Three Questions on Lorentz Violation
• Line element in quantum gravity: the examples of DSR and noncommutative geometry
• Extending general covariance: Moyal-type noncommutative manifolds
• Phenomenology of Noncommutative Field Theories
• Classical electrodynamics in a space with spin noncommutativity of coordinates
• Lie-Poisson gauge theories and $\kappa$-Minkowski electrodynamics
• Turning graphene into a lab for noncommutativity
• The Minimal and the New Minimal Supersymmetric Grand Unified Theories on Noncommutative Space-time
• Decays $Z\to \gamma \gamma$ and $Z\to gg$ in the Standard Model Extension
• Noncommutative Coulombic Monopole
• Noncommutative N=1 super Yang-Mills, the Seiberg-Witten map and UV divergences
• Supersymmetric Lorentz invariant deformations of superspaces
• The Cutkosky rule of three dimensional noncommutative field theory in Lie algebraic noncommutative spacetime
• Observations on non-commutative field theories in coordinate space
• Fundamental physics in space: a Quantum-Gravity perspective
• Possible Effects of Noncommutative Geometry on Weak CP Violation and Unitarity Triangles
• Noncommutative Electrodynamics with covariant coordinates
• Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories
• Gravity as a Gauge Theory on Three-Dimensional Noncommutative spaces
• Statistical mechanics of free particles on space with Lie type noncommutativity
• Noncommutativity and Lorentz Violation in Relativistic Heavy Ion Collisions
• On Coordinate Transformations in Planar Noncommutative Theories
• The theta-exact Seiberg-Witten maps at the e3 order
• The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism
• External Fields as Intrinsic Geometry
• Probe Noncommutative Space-Time Scale Using $\gamma \gamma \to Z$ At ILC
• The U(1)A anomaly in noncommutative SU(N) theories
• Gauge field theories with covariant star-product
• Bootstrapping Non-commutative Gauge Theories from L${}_{\infty }$ algebras
• Higgs Couplings in NonCommutative Standard Model
• Noncommutative Fluids
• Two-photon annihilation of singlet cold dark matters due to noncommutative space-time
• Noncommutative field with constant background fields and neutral fermion
• Quantum instability of gauge theories on $\kappa$-Minkowski space
• Neutrino-electron scattering in noncommutative space
• Nambu-Poisson Gauge Theory
• Seiberg-Witten map for noncommutative super Yang-Mills theory
• Closedness of orbits in a space with SU(2) Poisson structure
• Deformation Quantization of Hermitian Vector Bundles
• Noncommutative Dirac quantization condition using the Seiberg-Witten map
• On the All Order Solutions of Seiberg-Witten Map for Noncommutative Gauge Theories
• Introduction to a Non-Commutative Version of the Standard Model
• Noncommutative theories and general coordinate transformations
• U(2,2) gravity on noncommutative space with symplectic structure
• One-loop structure of the U(1) gauge model on the truncated Heisenberg space
• Ternary Z2 x Z3 graded algebras and ternary Dirac equation
• p-Branes from Generalized Yang-Mills Theory
• Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution
• Phase space quantization, noncommutativity and the gravitational field
• Inferring type and scale of noncommutativity from the PTOLEMY experiment
• TeV-photon paradox and space with SU(2) fuzziness
• Gauge theory on a space with linear Lie type fuzziness
• Noncommutative Complex Scalar Field and Casimir Effect
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Nucleon structure functions in noncommutative space-time
• Heisenberg Evolution in a Quantum Theory of Noncommutative Fields
• Dirac theory on a space with linear Lie type fuzziness
• Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman formalism
• One Loop Renormalizability of Spontaneously Broken Gauge Theory with a Product of Gauge Groups on Noncommutative Spacetime: the U(1) x U(1) Case
• Gauge Field Theory on the E_q(2)-covariant Plane
• NC Wilson lines and the inverse Seiberg-Witten map for nondegenerate star products
• Nonabelian noncommutative gauge fields and Seiberg-Witten map
• New Fuzzy Extra Dimensions from $SU(\mathcal{N})$ Gauge Theories
• Central force problem in space with SU(2) Poisson structure
• Symmetries, Microcausality and Physics on Canonical Noncommutative Spacetime
• Källén-Lehmann representation of noncommutative quantum electrodynamics
• Monopoles, noncommutative gauge theories in the BPS limit and some simple gauge groups
• Localization at threshold in noncommutative space
• $U(N)$ Yang-Mills in non-commutative space time
• On Charge Conservation and The Equivalence Principle in the Noncommutative Spacetime
• Lorentz invariant supersymmetric mechanism for non(anti)commutative deformations of space-time geometry
• Revisiting NCQED and scattering amplitudes
• Enveloping algebra Noncommutative SM: Renormalisability and High Energy Physics Phenomenology
• Dirac quantization of noncommutative Abelian Proca field
• $\kappa$-General-Relativity I: a Non-Commutative GR Theory with the $\kappa$-Minkowski Spacetime as its Flat Limit
• Deformed Chern-Simons interaction for nonrelativistic point particles
• Azimuthal polarization of polarized top quark in noncommutative standard model
• The LHC Drell-Yan Measurements as a Constraint for the Noncommutative Space-Time
• Non-Abelian Gauge Theory on q-Quantum Spaces
• Connes' Gauge Theory on Noncommutative Space-Times
• Non-orientable string one-loop corrections in the presence of a B field
• Massive particles coupled with 2+1 dimensional gravity and noncommutative field theory
• The role of the field redefinition in noncommutative Maxwell theory
• Spinors on a curved noncommutative space: coupling to torsion and the Gross-Neveu model
• The Noncommutative Standard Model and Forbidden Decays
• The role of the Seiberg-Witten field redefinition in renormalization of noncommutative chiral electrodynamics
• Pair production of Dirac particles in a d+1-dimensional noncommutative space-time
• Pale Glares of Dark Matter in Quantum Spacetime
• Quantum Dynamics on the three-dimensional q-deformed Euclidean Space
• Some remarks on Feynman rules for non-commutative gauge theories based on groups $G\ne U(N)$
• Photon Defects in Noncommutative Standard Model Candidates
• Consistent Construction of Perturbation Theory on Noncommutative Spaces
• Field theoretic models on covariant quantum spaces
• Search for noncommutative interactions in $\gamma \gamma \to \gamma \gamma$ process at the LHC
• Seiberg-Witten Map with Lorentz-Invariance and Gauge-Covariant Star Product
• Bounds on the scale of noncommutativity from mono photon production in ATLAS Runs -1 and -2 experiments at LHC energies
• Lie algebraic noncommuting structures from reparametrisation symmetry
• Lie Particle And Its Batalin-Tyutin Extension
• Field Theory with Coordinate Dependent Noncommutativity
• Quantum Systems Exactly
• Simplicial quantum dynamics
• Reconstruction of universal Drinfeld twists from representations
• Global Space-Time Symmetries of Quantized Euclidean and Minkowski Superspaces
• Separation of noncommutative differential calculus on quantum Minkowski space
• Planar field theories with space-dependent noncommutativity
• The Background Field Method and the Linearization Problem for Poisson Manifolds
• Induced Gauge Theory on a Noncommutative Space
• Gauge theory on kappa-Minkowski revisited: the twist approach
• Grand Unification on Noncommutative Spacetime
• Signatures of Noncommutative Geometry in Muon Decay for Nonsymmetric Gravity
• The Seiberg-Witten Map on the Fuzzy Sphere
• NC GUTs: A Status Report
• Perturbative Symmetries on Noncommutative Spaces
• n=3 Differential calculus and gauge theory on a reduced quantum plane
• Eigenvalue problem for radial potentials in space with SU(2) fuzziness
• On a noncommutative deformation of the Connes-Kreimer algebra
• Unification of Conformal and Fuzzy Gravities with Internal Interactions resulting in SO(10) and a Possible Probe through Stochastic Gravitational Wave Background
• Inverse square problem and so(2,1) symmetry in noncommutative space
• Particle and Field Symmetries and Noncommutative Geometry
• Some notes on string theory
• Nonrelativistic one-particle problem on $q$-deformed Euclidean space
• Some useful relations of the new star product on noncommutative curved space time when Delta is a constant
• Theories on noncommutative spaces and deformed symmetries
• Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications
• Line bundles and the Thom construction in noncommutative geometry
• UV/IR mixing in Noncommutative SU(N) Yang-Mills theory
• On Schwarzschild black holes in a D-dimensional noncommutative space
• Non-Commutative GUTs, Standard Model and C,P,T properties from Seiberg-Witten map
• Conservation laws for a $q$-deformed nonrelativistic particle
• Gauge Theories on Open Lie Algebra Non-Commutative Spaces
• Noncommutative Gauge Theory on the q-Deformed Euclidean Plane
• Locally Anisotropic Supergravity and Gauge Gravity on Noncommutative Spaces
• Geometry of Membrane Sigma Models
• Momentum and Position Representations for the q-deformed Euclidean Quantum Space
• Matrix Models, Emergent Spacetime and Symmetry Breaking