An index theorem for non-standard Dirac operators

Details An index theorem for non-standard Dirac operators An index theorem for non-standard Dirac operators

1999-01-29

arxiv.org/abs/hep-th/9901163v1

Class.Quant.Grav. 16 (1999) 2537-2544

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX2e

Scientific paper

10.1088/0264-9381/16/7/325

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.

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