论文标题
Ambitwistor字符串和广告上的散射方程$ _3 \ times $ s $^3 $
Ambitwistor Strings and the Scattering Equations on AdS$_3\times$S$^3$
论文作者
论文摘要
我们构建了一个AmbitWistor字符串，该字符串描述了ADS $ _3 \ times $ s $^3 $的II型超级弦，并用纯NS磁通量进行描述。背景爱因斯坦方程确保模型无异常。频谱由该背景周围的超级振动组成，没有更高的字符串状态。该理论将ADS $ _3 $上的$ n $ n $ point树级振幅的问题转化为理解$ \ mathfrak {sl} _2 $ gaudin intemable System的问题，其表示由双边界操作员确定，其频谱参数与WorldshEet插入点相对应。散射方程采用与平面空间相似的形式，带有$ n（n-3）/2 $参数$τ_{ij} $参数化Gaudin模型的特征值。
We construct an ambitwistor string that describes Type II supergravity on AdS$_3\times$S$^3$ with pure NS flux. The background Einstein equations ensure that the model is anomaly free. The spectrum consists of supergravity fluctuations around this background, with no higher string states. This theory transforms the problem of computing $n$-point tree-level amplitudes on AdS$_3$ into that of understanding an $\mathfrak{sl}_2$ Gaudin integrable system, whose representations are determined by the dual boundary operators and whose spectral parameters correspond to the worldsheet insertion points. The scattering equations take a similar form to flat space, with $n(n-3)/2$ parameters $τ_{ij}$ parametrizing the eigenvalues of the Gaudin model.
