Cao Qu, He Song, Tang Yichao
CAS Key Laboratory of Theoretical Physics, <a href="https://ror.org/02xtbq882">Institute of Theoretical Physics</a>, Chinese Academy of Sciences, Beijing 100190, China.
Zhejiang Institute of Modern Physics, Department of Physics, <a href="https://ror.org/00a2xv884">Zhejiang University</a>, Hangzhou, Zhejiang 310027, China.
Phys Rev Lett. 2024 Jul 12;133(2):021605. doi: 10.1103/PhysRevLett.133.021605.
We prove that all tree-level n-point supergluon (scalar) amplitudes in AdS_{5} can be recursively constructed, using factorization and flat-space limit. Our method is greatly facilitated by a natural R-symmetry basis for planar color-ordered amplitudes, which reduces the latter to "partial amplitudes" with simpler pole structures and factorization properties. Given the n-point scalar amplitude, we first extract spinning amplitudes with n-2 scalars and one gluon by imposing "gauge invariance," and then use a special "no-gluon kinematics" to determine the (n+1)-point scalar amplitude completely (which in turn contains the n-point single-gluon amplitude). Explicit results of up to 8-point scalar amplitudes and up to 6-point single-gluon amplitudes are included as Supplemental Material.
我们证明，利用因子分解和平直空间极限，可以递归地构造出(AdS_{5})中所有树图水平的(n)点超胶子（标量）振幅。对于平面色序振幅，一个自然的(R)对称基极大地简化了我们的方法，它将后者简化为具有更简单极点结构和因子分解性质的“部分振幅”。给定(n)点标量振幅，我们首先通过施加“规范不变性”提取出具有(n - 2)个标量和一个胶子的自旋振幅，然后使用一种特殊的“无胶子运动学”来完全确定((n + 1))点标量振幅（而后者又包含(n)点单胶子振幅）。多达8点的标量振幅和多达6点的单胶子振幅的明确结果作为补充材料包含在内。
