Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation
arXiv:hep-th/0607179 · doi:10.1016/j.physletb.2007.06.026
Abstract
Based on the analysis of the most natural and general ansatz, we conclude that the concept of twist symmetry, originally obtained for the noncommutative space-time, cannot be extended to include internal gauge symmetry. The case is reminiscent of the Coleman-Mandula theorem. Invoking the supersymmetry may reverse the situation.
arXiv comment13 pages, more accurate motivation added
References in corpus (13)
- String Theory and Noncommutative Geometry
- Gauge Theory on Noncommutative Spaces
- On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
- A Gravity Theory on Noncommutative Spaces
- Noncommutative Geometry and Gravity
- Perturbative analysis on infrared aspects of noncommutative QED on R^4
- New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications
- Comments on noncommutative gravity
- Noncommutative Gauge Field Theories: A No-Go Theorem
- Twisted Gauge Theories
- A Note on Superfields and Noncommutative Geometry
- Twist Symmetry and Gauge Invariance
- Twist to close
Cited by in corpus (24)
- Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
- Noncommutative Gravity
- Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
- On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity
- Deformed Reissner--Nordstrom solutions in noncommutative gravity
- Riemannian Geometry of Noncommutative Surfaces
- Noncommutative Quantum Field Theory: A Confrontation of Symmetries
- Diffeomorphism covariant star products and noncommutative gravity
- A novel approach to non-commutative gauge theory
- Poisson gauge models and Seiberg-Witten map
- Theta-twisted Gravity
- Gauging the twisted Poincare symmetry as noncommutative theory of gravitation
- Duality and Braiding in Twisted Quantum Field Theory
- Lie-Poisson gauge theories and -Minkowski electrodynamics
- Gauge field theories with covariant star-product
- Symmetries in noncommutative field theories: Hopf versus Lie
- Twisted invariances of noncommutative gauge theories
- Extended noncommutative Minkowski spacetimes and hybrid gauge symmetries
- Heat kernel of non-minimal gauge field kinetic operators on Moyal plane
- Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory
- Space-Time Diffeomorphisms in Noncommutative Gauge Theories
- A noncommutative geometric approach to the quantum structure of spacetime
- Diffeomorphism-invariant noncommutative gravity with twisted local Lorentz invariance
- Theories on noncommutative spaces and deformed symmetries