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The Witten Index of massless $(d+1)$-Dirac-Schr\'odinger Operators
- Publication Year :
- 2024
-
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.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.17123
- Document Type :
- Working Paper