论文标题
计数均衡竞争的本地S型
Counting parity-violating local S-matrices
论文作者
论文摘要
四点树级局部S-矩阵在Mandelstam的多项式环上形成了一个模块，t和u。可以根据分区函数编码局部分析S-膜的模块，该分区函数使用多个技术进行了列举。在本文中，我们列举了对本地四点光子，Graviton和Gluon多粒子分区函数的多个贡献，这些函数编码均违反$ 2 \ rightarrow 2 $散射。我们概括了在\ cite {Chowdhury：2019KAQ，Chowdhury：2020DDC}中解决的计数问题，以将违反奇偶校验的部门投射出来，这是一个微妙的任务\ cite \ cite {henning {henning：2017fpj}。我们明确列举了量规场，重力和胶子的多字母分区功能的均等贡献，并评估$ d = 4,6 $的违反分区功能的结果均等。我们还执行了大型$ D $分析，以表明违反本地互动的均等不会导致更高维度的四个粒子散射（$ d \ geq 8 $）。我们对光子，重力和胶子的计算和观察结果与以前在\ cite {Chowdhury：2019KAQ，Chowdhury中猜想的这些S-膜的转换属性相一致。
Four point tree-level local S-matrices form a module over ring of polynomials of mandelstam invariants s, t and u. The module of local analytic S-matrices can be encoded in terms of a partition function which is enumerated using plethystic techniques. In this paper, we enumerate the plethystic contribution to local four point photon, graviton and gluon multi-particle partition functions that encode parity violating $2 \rightarrow 2$ scattering. We generalise the counting problem solved in \cite{ Chowdhury:2019kaq, Chowdhury:2020ddc} to project out parity violating sectors, a subtle task in even dimensions \cite{Henning:2017fpj}. We explicitly enumerate the parity odd contributions to the multi-letter partition function for gauge fields, gravitons and gluons and evaluate the resulting parity violating partition functions in $D=4,6$. We also perform a large $D$ analysis to show that parity violating local interactions do not contribute to four particle scattering in higher dimensions ($D\geq 8$). Our computations and observations for photons, gravitons and gluons agree with the transformation properties of these S-matrices previously conjectured in \cite{Chowdhury:2019kaq, Chowdhury:2020ddc}
