论文标题
cft $ _6 $所有树级4点相关器的原点$ _3 \ times s^3 $
The CFT$_6$ origin of all tree-level 4-point correlators in AdS$_3 \times S^3$
论文作者
论文摘要
我们提供了有力的证据表明，ADS中的所有树级全息相关器$ _3 \ times s^3 $都受到隐藏的6D共形对称性的约束。该属性已在AD $ _5 \ Times S^5 $上下文中发现，并在ADS $ _3 \ times S^3 $理论的张量多重子部门中注意到。在这里，我们将其扩展到常规广告$ _3 \ times s^3 $相关器，这些相关器还包含旋转零的手性主操作员，而一个位于重力多重的位置。关键观察结果是，与这些运算符相关的6D共形初级字段不是标量，而是一个自dual $ 3 $ - 形式的主要主体。例如，我们专注于涉及张量多集中两个字段的相关器，而重力多重组中的两个字段，并表明所有这些相关器均在两个标量量表和两个自dual $ 3 $形式之间的共形6D相关器中编码，这取决于交叉率的三个函数。我们通过与从显式超级计算得出的最简单相关器的结果进行比较来固定这三个函数。
We provide strong evidence that all tree-level 4-point holographic correlators in AdS$_3 \times S^3$ are constrained by a hidden 6D conformal symmetry. This property has been discovered in the AdS$_5 \times S^5$ context and noticed in the tensor multiplet subsector of the AdS$_3 \times S^3$ theory. Here we extend it to general AdS$_3 \times S^3$ correlators which contain also the chiral primary operators of spin zero and one that sit in the gravity multiplet. The key observation is that the 6D conformal primary field associated with these operators is not a scalar but a self-dual $3$-form primary. As an example, we focus on the correlators involving two fields in the tensor multiplets and two in the gravity multiplet and show that all such correlators are encoded in a conformal 6D correlator between two scalars and two self-dual $3$-forms, which is determined by three functions of the cross ratios. We fix these three functions by comparing with the results of the simplest correlators derived from an explicit supergravity calculation.
