论文标题
映射大N略微折断的高旋转(SBHS)理论相关因子与自由理论相关因子
Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
论文作者
论文摘要
我们开发了一种系统的方法来约束旋转算子的任何N点相关函数,以较大的n略有损坏的高旋转(SBH)理论。作为方法论的例证,我们研究了重现先前已知结果的三个点函数。然后,我们研究了旋转操作员的四个点功能。我们表明,相互作用的SBHS理论中旋转运算符的相关功能采用非常简单的形式,并且可以用自由的典型和批判性波索克人理论相关器来编写它们。它们还可以在这两种理论的结果之间很好地插值。当在旋转螺旋变量中表达时,我们获得了一个任何一个相位,该相位很好地插入了自由效费和关键的骨效果之间,从而使3D隆隆化体现出来。此外,我们还通过执行类似的分析来获得五个及更高点函数的形式。
We develop a systematic method to constrain any n-point correlation function of spinning operators in Large N Slightly Broken Higher Spin (SBHS) theories. As an illustration of the methodology, we work out the three point functions which reproduce the previously known results. We then work out the four point functions of spinning operators. We show that the correlation functions of spinning operators in the interacting SBHS theory take a remarkably simple form and that they can be written just in terms of the free fermionic and critical bosonic theory correlators. They also interpolate nicely between the results in these two theories. When expressed in spinor-helicity variables we obtain an anyonic phase which nicely interpolates between the free fermionic and critical bosonic results which makes 3D bosonization manifest. Further, we also obtain a form for five and higher point functions as well by performing a similar analysis.