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arXiv · hep-th/9901163

An index theorem for non-standard Dirac operators

Jan-Willem van Holten·Andrew Waldron·Kasper Peeters
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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.

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Jan-Willem van Holten, Andrew Waldron, Kasper Peeters. 1999-01-29. An index theorem for non-standard Dirac operators. https://doi.org/10.1088/0264-9381%2F16%2F7%2F325

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