论文标题
六个和五个维度的AmbitWistor弦
Ambitwistor Strings in Six and Five Dimensions
论文作者
论文摘要
AmbitWistor弦是手性（霍明型）弦，其靶标的是复杂的无效测量学，AmbitWistor空间的空间。我们在6和5维度中介绍了Ambitwistor空间的扭曲表示。在6D中，Twistor表示自然是形式不变的。异常取消会导致描述Biad Exhoint标量振幅和某些共同不变的仪表和重力理论的模型，分别为4 $^{\ rm th} $和6 $^{\ rm th} $顺序。有三个这样的模型，反映了与这些6D模型相关的共形组SO（8）的试验。降低到五个维度时，量规单位取消需要超对称性，而所得模型描述了最大的超对称阳性和重力。这些AmbitWistor字符串的扭曲器表示导致了基于5D的极化散射方程的最大超对称规格和重力振幅的公式，前两位作者早些时候发现。
Ambitwistor strings are chiral (holomorphic) strings whose target is the space of complex null geodesics, ambitwistor space. We introduce twistor representations of ambitwistor space in 6 and 5 dimensions. In 6d the twistor representation is naturally conformally invariant. Anomaly cancellation leads to models that describe biadjoint scalar amplitudes and certain conformally invariant gauge and gravity theories, respectively of 4$^{\rm th}$ and 6$^{\rm th}$ order. There are three such models, reflecting triality for the conformal group SO(8) associated to these 6d models. On reduction to five dimensions, gauge anomaly cancellation requires supersymmetry and the resulting models describe maximally supersymmetric Yang-Mills and gravity. The twistor representation of these ambitwistor strings lead to formulæ for maximally supersymmetric gauge and gravity amplitudes based on the polarized scattering equations in 5d, found earlier by the first two authors.
