7 papers · 1 filter
On Hopf anomaly
C. Klimcik
This is a very brief but selfcontained review of the concept of quantum group symmetries and their anomalies. Remarkably, general constructions can be very simply illustrated on th…
Quasitriangular WZW model
C. Klimcik
A dynamical system is canonically associated to every Drinfeld double of any affine Kac-Moody group. The choice of the affine Lu-Weinstein-Soibelman double gives a smooth one-param…
Noncommutative integrability
C. Klimcik
I compute the cohomology of a non-commutative complex underlying the notion of the gauge field on the fuzzy sphere.
N=2 superalgebra and non-commutative geometry
H. Grosse, C. Klimcik, P. Presnajder
A construction of supersymmetric field-theoretical models in non-commutative geometry is reviewed. The underlying superstructure of the models is encoded in superalgebra…
Simple field theoretical models on noncommutative manifolds
H. Grosse, C. Klimcik, P. Presnajder
We review recent progress in formulating two-dimensional models over noncommutative manifolds where the space-time coordinates enter in the formalism as non-commuting matrices. We…
Towards Finite Quantum Field Theory in Non-Commutative Geometry
H. Grosse, C. Klimcik, P. Presnajder
We describe the self-interacting scalar field on the truncated sphere and we perform the quantization using the functional (path) integral approach. The theory posseses a full symm…