发表机构
Abdus Salam Centre for Theoretical Physics, Imperial College（阿卜杜斯·萨拉姆理论物理中心，帝国理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明德西特散射振幅的广义能量守恒等价于边界共形反常缺失，并发现新颖四点相互作用，表明GEC解是全息一致解的测度零子集。
AI 中文摘要
我们证明，对于体离散系列场（其对偶算子具有整数共形维度）而言，在偶数维扩展庞加莱时空中定义的德西特（dS）散射振幅的广义能量守恒（GEC）条件，精确对应于树级接触相互作用层面边界共形反常（包括β函数贡献）的缺失。相比之下，AdS/CFT中的全息一致性仅强制共形反常的局域性。通过执行GEC和全息自举，我们发现了新颖且唯一的四点相互作用，涉及三个相同的共形耦合标量场和一个离散系列标量场。这表明GEC的解构成全息一致解的一个测度零子集。我们的全息分析与共形场论关联函数的预期重正化条件精确一致。此外，一个特定四点构型的约束可能对检验尺度分离的非超对称AdS$_4$真空的全息一致性具有相关性。
英文摘要
We show that for bulk discrete series fields whose dual operators have integer conformal dimensions, the Generalised Energy Conservation (GEC) condition for de Sitter (dS) scattering amplitudes defined in even-dimensional extended Poincaré spacetime corresponds precisely to the absence of boundary conformal anomalies, including beta-function contributions, at the level of tree-level contact interactions. In contrast, holographic consistency in AdS/CFT enforces only the locality of the conformal anomaly. We find novel, unique four-point interactions involving three identical conformally coupled scalars and one discrete series scalar by performing both GEC and holographic bootstraps. This demonstrates that the solutions to GEC form a measure-zero subset of the holographically consistent solutions. Our holographic analysis agrees precisely with the expected renormalisation conditions for conformal field theory correlators. In addition, the constraint for a particular four-point configuration may be relevant for testing holographic consistency of scale-separated non-supersymmetric AdS$_4$ vacua.
