Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation

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.

13 pages, more accurate motivation added

References in corpus (4)

• A Gravity Theory on Noncommutative Spaces
• Twisted Gauge Theories
• Twist Symmetry and Gauge Invariance
• Twist to close

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• Poisson gauge models and Seiberg-Witten map
• Gauging the twisted Poincare symmetry as noncommutative theory of gravitation
• Duality and Braiding in Twisted Quantum Field Theory
• Lie-Poisson gauge theories and $\kappa$-Minkowski electrodynamics
• Gauge field theories with covariant star-product
• Twisted invariances of noncommutative gauge theories
• 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
• Theories on noncommutative spaces and deformed symmetries