PreprintCC BY 4.0arXiv
Powers of the Dirac Operator on S1× Sn−1
Abstract
We give explicit formulas for the spectra of the intertwinors on the spinor bundle over S1 × Sn−1, n even, with the standard Lorentzian metric g=−gS1+gSn−1. As a special case, we construct conformally covariant differential operators of all odd orders with the leading term a power of the Dirac operator.
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BibTeX
@misc{hong2026powers,
title = {{Powers of the Dirac Operator on $S^1\times S^n-1$}},
author = {Doojin Hong},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29316},
eprint = {2608.29316},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29316},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Powers of the Dirac Operator on S^1× S^n−1
AU - Doojin Hong
PY - 2026
DA - 2026/08/29
PB - arXiv
DO - 10.48550/arxiv.2608.29316
UR - https://arxiv.org/abs/2608.29316
AB - We give explicit formulas for the spectra of the intertwinors on the spinor bundle over S^1 × S^n−1, n even, with the standard Lorentzian metric g=−g__S^1+g__S^n−1. As a special case, we construct conformally covariant differential operators of all odd orders with the leading term a power of the Dirac operator.
ER -