arXiv 2006.158132020-06hep-thgr-qc

高自旋对称性与边界局域性的关系和dS/CFT的恢复

Higher-spin symmetry vs. boundary locality, and a rehabilitation of dS/CFT

Adrian David, Yasha Neiman

备注：: 72 pages; v2: corrected chronology of the references on bulk non-locality
DOI：: 10.1007/JHEP10(2020)127

摘要：

我们考虑了四维A型高自旋引力与三维自由矢量模型之间的全息对偶。我们知道边界元的Feynman图可以用HS-代数双史表达式来表示。这个表达式不仅可以在单独的边界插入上计算，而且可以在整个有限源分布上计算。我们第一次这样做，发现结果Z_HS与通常的CFT配分函数不一致。虽然这种分歧是预期由于接触更正，它仍然存在，即使在他们缺席。我们把它归因于一个混乱之间的壳和壳外边界计算。在洛伦兹边界签名中，这通过具有不同排列的源点的费曼图的错误相对符号来表现。在欧几里得中，符号是不明确的，破坏了可能的线性叠加。框架的情况作为边界局域性和HS对称性之间的冲突，我们牺牲局部性，并选择认真对待Z_HS。我们得到的奖励是在更高自旋dS/CFT中溶解了一个长期存在的病理学。虽然我们失去了与局域CFT的联系，但通过要求自旋局域边界作用，可以从第一性原理恢复Z_HS的精确形式。

英文摘要：

We consider the holographic duality between 4d type-A higher-spin gravity and a 3d free vector model. It is known that the Feynman diagrams for boundary correlators can be encapsulated in an HS-algebraic twistorial expression. This expression can be evaluated not just on separate boundary insertions, but on entire finite source distributions. We do so for the first time, and find that the result Z_HS disagrees with the usual CFT partition function. While such disagreement was expected due to contact corrections, it persists even in their absence. We ascribe it to a confusion between on-shell and off-shell boundary calculations. In Lorentzian boundary signature, this manifests via wrong relative signs for Feynman diagrams with different permutations of the source points. In Euclidean, the signs are instead ambiguous, spoiling would-be linear superpositions. Framing the situation as a conflict between boundary locality and HS symmetry, we sacrifice locality and choose to take Z_HS seriously. We are rewarded by the dissolution of a long-standing pathology in higher-spin dS/CFT. Though we lose the connection to the local CFT, the precise form of Z_HS can be recovered from first principles, by demanding a spin-local boundary action.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文