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A gravity theory on noncommutative spaces
A deformation of the algebra of diffeomorphisms is constructed for canonically deformed spaces with constant deformation parameter ?. The algebraic relations remain the same, whereas theExpand
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Noncommutative geometry and gravity
We study a deformation of infinitesimal diffeomorphisms of a smooth manifold. The deformation is based on a general twist. This leads to a differential geometry on a noncommutative algebra ofExpand
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Twisted Gauge Theories
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 isExpand
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Gauge theories on the κ-Minkowski spacetime
This study of gauge field theories on κ-deformed Minkowski spacetime extends previous work on field theories on this example of a noncommutative spacetime. We construct deformed gauge theories forExpand
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Gauge Theory on Twisted $\kappa$-Minkowski: Old Problems and Possible Solutions
We review the application of twist deformation formalism and the construction of noncommutative gauge theory on $\kappa$-Minkowski space-time. We compare two different types of twists: the AbelianExpand
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Noncommutative SO(2,3) gauge theory and noncommutative gravity
In this paper noncommutative gravity is constructed as a gauge theory of the noncommutative $SO(2,3{)}_{$\star${}}$ group, while the noncommutativity is canonical (constant). The Seiberg-Witten mapExpand
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Noncommutative Spacetimes: Symmetries in Noncommutative Geometry and Field Theory
Deformed Field Theory: Physical Aspects.- Differential Calculus and Gauge Transformations on a Deformed Space.- Deformed Gauge Theories.- Einstein Gravity on Deformed Spaces.- Deformed Gauge Theory:Expand
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(Non)renormalizability of the D -deformed Wess-Zumino model
We continue the analysis of the D-deformed Wess-Zumino model that we introduced in M. Dmitrijevic and V. Radovanovic, J. High Energy Phys. 04 (2009) 108. The model is defined by a deformation that isExpand
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Deformed Bialgebra of Diffeomorphisms
The algebra of diffeomorphisms derived from general coordinate transformations on commuting coordinates is represented by differential operators on noncommutative spaces. The algebra remainsExpand
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Dynamical Noncommutativity and Noether Theorem in Twisted $${\phi^{\star 4}}$$ Theory
A $${\star}$$-product is defined via a set of commuting vector fields $${X_a = {e_a} ^{\mu} (x) \partial_\mu}$$, and used in a $${\phi^{\star 4}}$$ theory coupled to the $${{e_a} ^{\mu} (x)}$$Expand
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