We classify finite energy harmonic 2-forms on the asymptotically flat gravitational instanton constructed by Chen and Teo. We prove that every $U(1)$-bundle admits a unique anti-self-dual Yang-Mills instanton (up to gauge equivalence) which we describe explicitly in coordinates. As an application, we compute the classical contribution to partition function for Maxwell theory with theta term.

中文翻译：

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Chen-Teo AF 几何上的阿贝尔瞬子

我们在由 Chen 和 Teo 构建的渐近平坦引力瞬子上对有限能量谐波 2-形式进行分类。我们证明每$你(1)$-bundle 承认我们在坐标中明确描述的独特的反自我对偶杨米尔斯瞬间子（达到规范等价）。作为一个应用，我们使用 theta 项计算麦克斯韦理论对配分函数的经典贡献。