PreprintCC BY 4.0arXiv
QFT on flat, compact, orientable manifolds
Abstract
Motivated by the recent observation that rotating space-times at finite temperature can be described by particular flat, compact, orientable manifolds, which are different from 𝕋4, we catalogue all such 4-manifolds and their properties. There are in total 26 flat, compact, orientable 4-manifolds, 23 of them spin-manifolds, so fermions and a Dirac operator can also be defined on these. Seven of them are appropriate for finite volume periodic boxes undergoing rotation at finite temperature.
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BibTeX
@misc{nagy2026flat,
title = {{QFT on flat, compact, orientable manifolds}},
author = {Sebestyen Nagy and Daniel Nogradi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02330},
eprint = {2609.02330},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02330},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - QFT on flat, compact, orientable manifolds
AU - Sebestyen Nagy
AU - Daniel Nogradi
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.02330
UR - https://arxiv.org/abs/2609.02330
AB - Motivated by the recent observation that rotating space-times at finite temperature can be described by particular flat, compact, orientable manifolds, which are different from 𝕋^4, we catalogue all such 4-manifolds and their properties. There are in total 26 flat, compact, orientable 4-manifolds, 23 of them spin-manifolds, so fermions and a Dirac operator can also be defined on these. Seven of them are appropriate for finite volume periodic boxes undergoing rotation at finite temperature.
ER -