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Noncommutative gerbes and deformation quantization
Paolo Aschieri, Igor Bakovic, Branislav Jurco +1
We define noncommutative gerbes using the language of star products. Quantized twisted Poisson structures are discussed as an explicit realization in the sense of deformation quant…
Non-Abelian gauge theory on noncommutative spaces
Peter Schupp
We present a brief introduction to the construction of gauge theories on noncommutative spaces with star products. Particular emphasis is given to issues related to non-Abelian gau…
Noncommutative line bundle and Morita equivalence
Branislav Jurco, Peter Schupp, Julius Wess
Global properties of abelian noncommutative gauge theories based on -products which are deformation quantizations of arbitrary Poisson structures are studied. The consistenc…
Nonabelian noncommutative gauge fields and Seiberg-Witten map
Branislav Jurco, Peter Schupp, Julius Wess
Noncommutative gauge fields (similar to the type that arises in string theory with background B-fields) are constructed for arbitrary nonabelian gauge groups with the help of a map…
Cartan Calculus on Quantum Lie Algebras
Peter Schupp, Paul Watts, Bruno Zumino
A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing ex…
The Role of the Canonical Element in the Quantized Algebra of Differential Operators $\A\rtimes\U$
Chryssomalis Chryssomalakos, Peter Schupp, Paul Watts
We review the construction of the cross product algebra $\A\rtimes\U$ from two dually paired Hopf algebras $\U$ and $\A$. The canonical element in $\U \otimes \A$ is then introduce…