Dirac Operator on the Standard Podles Quantum Sphere

Abstract

Using principles of quantum symmetries we derive the algebraic part of the real spectral triple data for the standard Podleś quantum sphere: equivariant representation, chiral grading $\gamma$, reality structure $J$ and the Dirac operator $D$, which has bounded commutators with the elements of the algebra and satisfies the first order condition.

10 pages, LaTeX, to appear in Banach Center Publication

References in corpus (1)

• Equivariant spectral triples on the quantum SU(2) group

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