论共形流形中的高自旋点与无穷远距离
On Higher-Spin Points and Infinite Distances in Conformal Manifolds
AI总结：
本文仅利用共形工具箱方法，不依赖弱耦合引力对偶，证明了共形流形中的高自旋点确实位于无穷远距离处，且不依赖特定时空维度或超对称性。
摘要：
共形流形（即由边缘形变相关联的 CFTs 构成的空间）中的距离可以通过 Zamolodchikov 度量来测量。CFT 距离猜想的部分内容假设，在该流形中部分谱变为自由的点（称为高自旋点）只能位于距离内部无穷远处。在那里，无穷塔的算子成为守恒流，且共形对称性被增强为高自旋代数。该提议最初受到 Swampland 距离猜想（Swampland Program 的支柱之一）的启发。在这项工作中，我们表明该猜想可以仅使用共形工具箱中的方法来解决，而无需依赖弱耦合引力对偶的存在。通过共形微扰理论结合关联函数及高自旋代数的性质，我们确立了高自旋点在共形流形中确实位于无穷远距离处。除了局部 CFTs 的通常性质（如幺正性和能量-动量张量的存在）之外，我们不作任何假设。特别地，我们不依赖于特定的时空维度（尽管我们假设 $d>2$），也不要求超对称性的存在。
英文摘要：
Distances in the conformal manifold, the space of CFTs related by marginal deformations, can be measured in terms of the Zamolodchikov metric. Part of the CFT Distance Conjecture posits that points in this manifold where part of the spectrum becomes free, called higher-spin points, can only be at infinite distance from the interior. There, an infinite tower of operators become conserved currents, and the conformal symmetry is enhanced to a higher-spin algebra. This proposal was initially motivated by the Swampland Distance Conjecture, one of pillars of the Swampland Program. In this work, we show that the conjecture can be tackled using only methods from the conformal toolkit, and without relying on the existence of a weakly-coupled gravity dual. Via conformal perturbation theory combined with properties of correlators and of the higher-spin algebra, we establish that higher-spin points are indeed at infinite distance in the conformal manifold. We make no assumptions besides the usual properties of local CFTs, such as unitarity and the existence of an energy-momentum tensor. In particular, we do not rely on a specific dimension of spacetime (although we assume $d>2$), nor do we require the presence of supersymmetry.
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。
