Twist to close

Abstract

It has been proposed that the Poincare and some other symmetries of noncommutative field theories should be twisted. Here we extend this idea to gauge transformations and find that twisted gauge symmetries close for arbitrary gauge group. We also analyse twisted-invariant actions in noncommutative theories.

5 pages, added references; v3: added more references and comments, to appear in MPLA

References in corpus (7)

• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• A Gravity Theory on Noncommutative Spaces
• Dilaton Gravity in Two Dimensions
• New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications
• Untwisting Noncommutative R^d and the Equivalence of Quantum Field Theories
• Construction of $\theta$-Poincaré Algebras and their Invariants on ${\mathcal{M}}_{\theta }$
• Non-Commutative Geometry and Twisted Conformal Symmetry

Cited by in corpus (38)

• Comments on noncommutative gravity
• Topics in Noncommutative Geometry Inspired Physics
• Twisted Gauge Theories
• Noncommutative D=4 gravity coupled to fermions
• Twisted Noncommutative Field Theory with the Wick-Voros and Moyal Products
• Noncommutative field theory with the Wick-Voros product
• kappa-deformed Spacetime From Twist
• Twisted Gauge and Gravity Theories on the Groenewold-Moyal Plane
• Noncommutative spacetime symmetries: Twist versus covariance
• Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation
• Twisted Covariant Noncommutative Self-dual Gravity
• Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory
• Braided $L_{\infty }$-Algebras, Braided Field Theory and Noncommutative Gravity
• Drinfeld Twist and General Relativity with Fuzzy Spaces
• Dynamics of a Dirac Fermion in the presence of spin noncommutativity
• Non-commutative deformation of Chern-Simons theory
• Noncommutative magnetic moment of charged particles
• Poisson gauge theory
• Classical Noncommutative Electrodynamics with External Source
• Gauge Generators, Transformations and Identities on a Noncommutative Space
• Diffeomorphism covariant star products and noncommutative gravity
• A novel approach to non-commutative gauge theory
• Field Theory on Nonanticommutative Superspace
• Theta-twisted Gravity
• $L_{\infty }$-Bootstrap Approach to Non-Commutative Gauge Theories
• Translational-invariant noncommutative gauge theory
• Lie-Poisson gauge theories and $\kappa$-Minkowski electrodynamics
• Tensor calculus on noncommutative spaces
• On the Consistency of Twisted Gauge Theory
• Gauge Symmetries on $\theta$-Deformed Spaces
• Twisted invariances of noncommutative gauge theories
• Heat kernel of non-minimal gauge field kinetic operators on Moyal plane
• Poincare' Quasi-Hopf Symmetry and Non-Associative Spacetime Algebra from Twisted Gauge Theories
• D-deformed Wess-Zumino model and its renormalizability properties
• Extended noncommutative Minkowski spacetimes and hybrid gauge symmetries
• (Non)renormalizability of the D-deformed Wess-Zumino model
• Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory
• Differential calculus and gauge transformations on a deformed space