Spectral action on $SU_q(2)$

Bruno Iochum (1, 2) , A. Sitarz , Cyril Levy (1, 2)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332

The spectral action on the equivariant real spectral triple over $\A(SU_q(2))$ 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 $S^3$.

Mots clés: spectral action; quantum group; noncommutative integral

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Bruno Iochum, A. Sitarz, Cyril Levy. Spectral action on $SU_q(2)$. Communications in Mathematical Physics, 2009, 289, pp.107-155. ⟨hal-00261850⟩