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arXiv 2602.02017hep-th
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大自旋系统学:多重旋转算符的互易性模式

Large Spin Systematics: Patterns from Reciprocity for Multiple Spinning Operators

Centro de Física do Porto, Faculdade de Ciências da Universidade do Porto(波尔图大学理学院波尔图物理中心)

Pulkit Agarwal

AI总结:

该研究通过分析多重旋转算符的互易性模式,推导出大自旋行为的新约束,并展示了 l=0 情况下约束的简化方法。

摘要:

我们研究了标量五点黎曼 conformal 联合子的 conformal 块展开在多个交叉比趋近于零的极限下的行为。由于这个极限由具有大自旋的中间算符控制,我们利用它来研究这些算符的 OPE 系数的大自旋展开。通过施加如相关子解析性的 bootstrap 假设,我们推导出一组新的无限约束,这些约束涉及多个旋转算符的 OPE 系数的大自旋行为。我们还表明,对于 l=0 的情况,这些约束可以通过识别系数中的模式,在 1/J 的所有阶上被简化。

英文摘要:

We study the behaviour of the conformal block expansions of scalar fivepoint Lorentzian conformal correlators in the limit where multiple cross ratios approach zero. Since this limit is controlled by intermediate operators with large spin, we use it to study the large spin expansion of the OPE coefficients involving these operators. By imposing bootstrap assumptions such as analyticity of the correlators, we derive an infinite set of new constraints on the large spin behaviour of OPE coefficients involving multiple spinning operators. We also show that for the case of $l=0$, these constraints can be trivialised to all orders in $1/J$ by identifying a pattern in the coefficients.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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