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arXiv · 2609.02330

QFT on flat, compact, orientable manifolds

Sebestyen Nagy·Daniel Nogradi
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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 $\mathbb T^4$, 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.

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Sebestyen Nagy, Daniel Nogradi. 2026-09-02. QFT on flat, compact, orientable manifolds. https://arxiv.org/abs/2609.02330

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