Melton Walker, Sharma Atul, Strominger Andrew, Wang Tianli
Center for the Fundamental Laws of Nature, <a href="https://ror.org/03vek6s52">Harvard University</a>, Cambridge, Massachusetts, USA.
Phys Rev Lett. 2024 Aug 30;133(9):091603. doi: 10.1103/PhysRevLett.133.091603.
It is shown that a 2D conformal field theory consisting of a central charge c Liouville theory, a chiral level one, rank N Kac-Moody algebra, and a weight -3/2 free fermion holographically generate 4D maximal helicity violating tree-level scattering amplitudes. The correlators of this 2D conformal field theory give directly the 4D leaf amplitudes associated to a single hyperbolic slice of flat space. The 4D celestial amplitudes arise in a large-N and semiclassical large-c limit, according to the holographic dictionary, as a translationally invariant combination of leaf amplitudes. A step in the demonstration is showing that the semiclassical limit of Liouville correlators are given by contact 3D anti-de Sitter Witten diagrams.
结果表明，一个由中心荷为(c)的刘维尔理论、一个手征一级、秩为(N)的卡茨 - 穆迪代数以及一个权重为(-3/2)的自由费米子组成的二维共形场论，全息地生成了四维最大螺旋度破坏的树图水平散射振幅。这个二维共形场论的关联函数直接给出了与平坦空间单个双曲切片相关的四维叶振幅。根据全息字典，四维天体振幅在大(N)和半经典大(c)极限下，作为叶振幅的平移不变组合出现。证明过程中的一个步骤是表明刘维尔关联函数的半经典极限由接触三维反德西特维滕图给出。
