Spectral Action for Scalar Perturbations of Dirac Operators
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 SU q (2).
- Spectral Action for Scalar Perturbations of Dirac Operators
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Letters in Mathematical Physics
Volume 98, Issue 3 , pp 333-348
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- Springer Netherlands
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- spectral geometry
- noncommutative geometry