Spectral Action on <Emphasis Type="Italic">SU</Emphasis><Subscript><Emphasis Type="Italic">q</Emphasis></Subscript>(2)期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Spectral Action on SUq(2)

Authors:	B. Iochum C. Levy A. Sitarz

Affiliation:	(1) Centre de Physique Théorique, CNRS–Luminy, Case 907, 13288 Marseille Cedex 9, France;(2) Université de Provence, Aix-Marseille, France;(3) Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Abstract:	The spectral action on the equivariant real spectral triple over ${mathcal{A}left(SU_q(2)right)}$ is computed explicitly. Properties of the differential calculus arising from the Dirac operator are studied and the results are compared to the commutative case of the sphere ${mathbb{S}^3}$ . UMR 6207, – Unité Mixte de Recherche du CNRS et des Universités Aix-Marseille I, Aix-Marseille II et de l’Université du Sud Toulon-Var, Laboratoire affilié à la FRUMAM – FR 2291. Partially supported by Polish Government grants 189/6.PRUE/2007/7; 115/E-343/SPB/6.PR UE/DIE and N 201 1770 33.

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