1.Institute of Physics,Jagiellonian University,Kraków,Poland
Abstract:
We investigate the leading terms of the spectral action for odd-dimensional Riemannian spin manifolds with the Dirac operator
perturbed by a scalar function. We calculate first two Gilkey–de Witt coefficients and make explicit calculations for the
case of n-spheres with a completely symmetric Dirac. In the special case of dimension 3, when such perturbation corresponds to the
completely antisymmetric torsion, we carry out the noncommutative calculation following Chamseddine and Connes (J Geom Phys
57:121, 2006) and study the case of SUq(2).