论文标题
在有效的野外理论上
On Effective Field Theories with Celestial Duals
论文作者
论文摘要
我们表明，在天体CFT中，树级操作的关联对相应批量理论的耦合常数施加了约束。这些约束与arxiv：2111.11356在软模式代数的雅各比身份中得出的约束相同。受约束的理论很有趣，因为显然定义明确的天体CFT，具有变形的$ W_ {1+ \ infty} $对称代数。我们明确地将这些限制的分析在这些理论中涉及胶子，重力和标量的散射幅度上的后果。我们发现，所有四个点振幅都可以仅由全体形态或抗塑形的三点振幅构建，这些幅度在支持这些约束的支持下消失了，这意味着所有纯粹的骨膜或纯粹纯抗塑料或纯粹的抗甲晶型更高点的幅度消失了。
We show that associativity of the tree-level OPE in a celestial CFT imposes constraints on the coupling constants of the corresponding bulk theory. These constraints are the same as those derived in arXiv:2111.11356 from the Jacobi identity of the algebra of soft modes. The constrained theories are interesting as apparently well-defined celestial CFTs with a deformed $w_{1+\infty}$ symmetry algebra. We explicitly work out the ramifications of these constraints on scattering amplitudes involving gluons, gravitons and scalars in these theories. We find that all four-point amplitudes constructible solely from holomorphic or anti-holomorphic three-point amplitudes vanish on the support of these constraints, which implies that all purely holomorphic or purely anti-holomorphic higher-point amplitudes vanish.
