论文标题
负耦合的七维超级阳米尔
Seven-dimensional super Yang-Mills at negative coupling
论文作者
论文摘要
我们考虑欧几里得$ su（n）$ super yang-mills的分区功能在挤压的七个球中。我们表明，分区功能的本地化基因座的intsanton膜解决方案包裹了$ \ Mathbb {s}^7 $上的六个“固定”三键。这些Instantons的ADHM变量是生活在膜世界上的田地。我们通过定位所得的三维超对称场理论来计算它们的贡献。在圆形限制中，单个instanton的贡献是奇异的，但是在添加所有六个三个球的贡献时，奇异性都取消了。 即使有效的Yang-Mills耦合的平方为负，即使$ {\ Mathbb S}^7 $上的完整分区功能也是明确的。我们以$ su（2）$量表理论的形式显示，激体膜的裸露负张力因Instanton分区功能的贡献而取消，这表明存在无张力的膜。我们提供的证据表明，这一阶段与通常的弱耦合超阳米尔不同，实际上是引力。
We consider the partition function for Euclidean $SU(N)$ super Yang-Mills on a squashed seven-sphere. We show that the localization locus of the partition function has instanton membrane solutions wrapping the six "fixed" three-spheres on the $\mathbb{S}^7$. The ADHM variables of these instantons are fields living on the membrane world volume. We compute their contribution by localizing the resulting three-dimensional supersymmetric field theory. In the round-sphere limit the individual instanton contributions are singular, but the singularities cancel when adding the contributions of all six three-spheres. The full partition function on the ${\mathbb S}^7$ is well-defined even when the square of the effective Yang-Mills coupling is negative. We show for an $SU(2)$ gauge theory in this regime that the bare negative tension of the instanton membranes is canceled off by contributions from the instanton partition function, indicating the existence of tensionless membranes. We provide evidence that this phase is distinct from the usual weakly coupled super Yang-Mills and, in fact, is gravitational.
