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Dirac Operator on the Standard Podles Quantum Sphere

Ludwik Dabrowski·Andrzej Sitarz
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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 $γ$, 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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Ludwik Dabrowski, Andrzej Sitarz. 2002-12-06. Dirac Operator on the Standard Podles Quantum Sphere. https://doi.org/10.4064/bc61-0-4

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