标题： 十维磁化环面超杨-米尔斯理论中的单环真空中能量与/ without 四维N=1超对称完成 显示英文标题

标题： One-loop vacuum energy in 10D super-Yang-Mills theory on magnetized tori with/without 4D N=1 supersymmetric completion

摘要： 我们讨论在存在阿贝尔磁通量的情况下，10维（10D）磁化环面 $\mathbb{R}^{1,3}\times (\mathbb{T}^2)^3$ 上的单圈真空中能量的行为，包括所有来自卡鲁扎-克莱因（KK）模态的贡献。 高维超杨-米尔斯作用量已知可以以4D $\mathcal{N}=1$ 超场的形式重新包装。 然而，我们发现这种超空间作用量在存在磁通量的情况下与原始10D超杨-米尔斯作用量不同。 我们证明，从这两个作用量计算出的KK质量谱和真空中能量彼此不同。 特别是，我们发现基于原始作用量的真空中能量的紫外发散与磁通量配置无关而精确抵消，而基于超空间完成的作用量的紫外发散只有在磁通量配置保持超对称性时才抵消，这表明隐藏的扩展超对称性被自发或显式地破坏。 显示英文摘要

摘要： We discuss the behavior of the one-loop vacuum energy of 10 dimensional (10D) super Yang-Mills theory on magnetized tori $\mathbb{R}^{1,3}\times (\mathbb{T}^2)^3$ in the presence of the Abelian magnetic fluxes, including all the contributions from Kaluza-Klein (KK) modes. Higher-dimensional super Yang-Mills action is known to be repackaged in terms of 4D $\mathcal{N}=1$ superfield. We, however, find that such a superspace action differs from the original 10D super Yang-Mills action in the presence of magnetic fluxes. We show that the KK mass spectrum and hence the vacuum energy computed from these two actions differ from each other. In particular, we find that the UV divergence of the vacuum energy based on the original action precisely cancels independently of flux configuration whereas that based on the superspace completion does only when flux configuration preserves supersymmetry, which implies spontaneous or explicit breaking of hidden extended supersymmetry.