A Hodge–de Rham Dirac operator on the quantum SU(2)

Fabio Di Cosmo,G. Marmo,Juan Manuel Pérez-Pardo,Alessandro Zampini

A Hodge–de Rham Dirac operator on the quantum SU(2)

2017

Fabio Di Cosmo
G. Marmo
Juan Manuel Pérez-Pardo
Alessandro Zampini

We describe how it is possible to define a Hodge–de Rham Dirac operator associated to a suitable Cartan-Killing metric form upon the exterior algebra over the quantum spheres SUq(2) equipped with a three-dimensional left covariant calculus.

Keywords:

Mathematical analysis
Covariant transformation
Dirac operator
Ladder operator
Dirac algebra
Mathematics
Exterior algebra
Quantum differential calculus
Special unitary group
Topology
Hodge dual

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