An index theorem for non-standard Dirac operators
High Energy Physics - Theory
2014-11-18 v1 General Relativity and Quantum Cosmology
Abstract
On manifolds with non-trivial Killing tensors admitting a square root of the Killing-Yano type one can construct non-standard Dirac operators which differ from, but commute with, the standard Dirac operator. We relate the index problem for the non-standard Dirac operator to that of the standard Dirac operator. This necessitates a study of manifolds with torsion and boundary and we summarize recent results obtained for such manifolds.
Cite
@article{arxiv.hep-th/9901163,
title = {An index theorem for non-standard Dirac operators},
author = {Jan-Willem van Holten and Andrew Waldron and Kasper Peeters},
journal= {arXiv preprint arXiv:hep-th/9901163},
year = {2014}
}
Comments
9 pages, LaTeX2e