发表机构
Eotvos Lorand University（厄特沃什·罗兰大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对有限温度旋转时空对应的平直紧致可定向4维流形完成分类，明确其数量、旋量流形占比及适用场景，为相关量子场论研究提供基础。
AI 中文摘要
受近期观测结果启发，有限温度下的旋转时空可由不同于$\boldsymbol{\top}^4$的特定平直紧致可定向流形描述，本文对所有这类4维流形及其性质进行了分类。总共存在26种平直紧致可定向4维流形，其中23种为旋量流形，因此可在这些流形上定义费米子和狄拉克算子；其中7种适用于有限体积周期盒在有限温度下发生旋转的情形。
英文摘要
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.
Comments15 pages
