Twisted Gauge Theories

Abstract

Gauge theories on a space-time that is deformed by the Moyal-Weyl product are constructed by twisting the coproduct for gauge transformations. This way a deformed Leibniz rule is obtained, which is used to construct gauge invariant quantities. The connection will be enveloping algebra valued in a particular representation of the Lie algebra. This gives rise to additional fields, which couple only weakly via the deformation parameter and reduce in the commutative limit to free fields. Consistent field equations that lead to conservation laws are derived and some properties of such theories are discussed.

11 pages, V2: details and appendix added

References in corpus (4)

• A Gravity Theory on Noncommutative Spaces
• Twist Symmetry and Gauge Invariance
• Twist to close
• Noncommutative Two Dimensional Gravities

Cited by in corpus (24)

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• Noncommutative D=4 gravity coupled to fermions
• Twist Symmetry and Gauge Invariance
• Twisted Gauge and Gravity Theories on the Groenewold-Moyal Plane
• Quantum Fields on the Groenewold-Moyal Plane
• Twisted Poincaré Invariant Quantum Field Theories
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• 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
• Gauge Generators, Transformations and Identities on a Noncommutative Space
• Star Product and Invariant Integration for Lie type Noncommutative Spacetimes
• Spontaneous Symmetry Breaking in Twisted Noncommutative Quantum Theories
• On the Consistency of Twisted Gauge Theory
• Gauge field theories with covariant star-product
• Summary of session A4 at the GRG18 conference: Alternative Theories of Gravity
• Einstein-Riemann Gravity on Deformed Spaces
• Twisted invariances of noncommutative gauge theories
• Heat kernel of non-minimal gauge field kinetic operators on Moyal plane
• q-Quaternions and q-deformed su(2) instantons
• Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory
• Differential calculus and gauge transformations on a deformed space
• Space-Time Diffeomorphisms in Noncommutative Gauge Theories
• Quantum Space-Time and Noncommutative Gauge Field Theories