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arXiv · 2405.17123

The Witten Index of massless $(d+1)$-Dirac-Schr\"odinger Operators

Oliver Fürst
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Abstract

We calculate the Witten index of a class of (non-Fredholm) Dirac-Schr\"odinger operators over $\mathbb{R}^{d+1}$ for $d\geq 3$ odd, and thus generalize known results for the case $d=1$. For a concrete example of the potential, we give a more explicit index formula, showing that the Witten index assumes any real number on this class of operators.

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Oliver Fürst. 2024-05-27. The Witten Index of massless $(d+1)$-Dirac-Schr\"odinger Operators. https://arxiv.org/abs/2405.17123

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