A gravity theory on noncommutative spaces
- P. Aschieri, Christian Blohmann, M. Dimitrijević, F. Meyer, P. Schupp, J. Wess
- Mathematics
- 22 April 2005
A deformation of the algebra of diffeomorphisms is constructed for canonically deformed spaces with constant deformation parameter θ. The algebraic relations remain the same, whereas the…
Gauge theory on noncommutative spaces
- J. Madore, S. Schraml, P. Schupp, J. Wess
- Mathematics, Physics
- 28 January 2000
Abstract. We introduce a formulation of gauge theory on noncommutative spaces based on the notion of covariant coordinates. Some important examples are discussed in detail. A Seiberg-Witten map is…
Membrane sigma-models and quantization of non-geometric flux backgrounds
- D. Mylonas, P. Schupp, R. Szabo
- Mathematics
- 4 July 2012
A bstractWe develop quantization techniques for describing the nonassociative geometry probed by closed strings in flat non-geometric R-flux backgrounds M . Starting from a suitable Courant…
Construction of non-Abelian gauge theories on noncommutative spaces
- B. Jurčo, L. Möller, S. Schraml, P. Schupp, J. Wess
- Mathematics, Physics
- 18 April 2001
Abstract. We present a formalism to explicitly construct non-Abelian gauge theories on noncommutative spaces (induced via a star product with a constant Poisson tensor) from a consistency relation.…
Enveloping algebra-valued gauge transformations for non-abelian gauge groups on non-commutative spaces
- B. Jurčo, S. Schraml, P. Schupp, J. Wess
- Mathematics, Physics
- 30 June 2000
Abstract. An enveloping algebra-valued gauge field is constructed, its components are functions of the Lie algebra-valued gauge field and can be constructed with the Seiberg-Witten map. This allows…
The standard model on non-commutative space-time
- X. Calmet, B. Jurčo, P. Schupp, J. Wess, M. Wohlgenannt
- Physics
- 9 November 2001
Abstract. We consider the standard model on a non-commutative space and expand the action in the non-commutativity parameter $\theta^{\mu \nu}$. No new particles are introduced; the structure group…
Noncommutative Yang-Mills from equivalence of star products
Abstract. It is shown that the transformation between ordinary and noncommutative Yang-Mills theory as formulated by Seiberg and Witten is due to the equivalence of certain star products on the…
Bicovariant quantum algebras and quantum Lie algebras
AbstractA bicovariant calculus of differential operators on a quantum group is constructed in a natural way, using invariant maps from Fun
$$(\mathfrak{G}_q )$$
toUqg, given by elements of the pure…
Noncommutative Line Bundle and Morita Equivalence
Global properties of Abelian noncommutative gauge theories based on ⋆-products which are deformation quantizations of arbitrary Poisson structures are studied. The consistency condition for finite…
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