The Witten Index of massless $(d+1)$-Dirac-Schrödinger Operators
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909211308326912 |
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| author | Fürst, Oliver |
| author_facet | Fürst, Oliver |
| contents | We calculate the Witten index of a class of (non-Fredholm) Dirac-Schrödinger 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17123 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Witten Index of massless $(d+1)$-Dirac-Schrödinger Operators Fürst, Oliver Functional Analysis Mathematical Physics 47A53, 47B10 (Primary), 47D06, 35J46 (Secondary) We calculate the Witten index of a class of (non-Fredholm) Dirac-Schrödinger 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. |
| title | The Witten Index of massless $(d+1)$-Dirac-Schrödinger Operators |
| topic | Functional Analysis Mathematical Physics 47A53, 47B10 (Primary), 47D06, 35J46 (Secondary) |
| url | https://arxiv.org/abs/2405.17123 |