Dirac Operator on the Standard Podles Quantum Sphere

Details Dirac Operator on the Standard Podles Quantum Sphere Dirac Operator on the Standard Podles Quantum Sphere

2002-09-05

arxiv.org/abs/math/0209048v3

Mathematics

Quantum Algebra

10 pages, LaTeX, to appear in Banach Center Publication

Scientific paper

Using principles of quantum symmetries we derive the algebraic part of the
real spectral triple data for the standard Podle\'s 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.

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