Near lightcone correlators are dominated by operators with the lowest twist. We consider the contributions of such leading lowest twist multi-stress tensor operators to a heavy-heavy-light-light correlator in a CFT of any even dimensionality with a large central charge. An infinite number of such operators contribute, but their sum is described by a simple ansatz. We show that the coefficients in this ansatz can be determined recursively, thereby providing an operational procedure to compute them. This is achieved by bootstrapping the corresponding near lightcone correlator: conformal data for any minimal­ twist determines that for the higher minimal-twist and so on. To illustrate this procedure in four spacetime dimensions we determine the contributions of double- and triple-stress tensors. We compute the OPE coefficients; whenever results are available in the literature, we observe complete agreement. We also compute the contributions of double-stress tensors in six spacetime dimensions and determine the corresponding OPE coefficients. In all cases the results are consistent with the exponentiation of the near lightcone correlator. This is similar to the situation in two spacetime dimensions for the Virasoro vacuum block.

中文翻译：

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领先的多应力张量和保形自举

近光锥相关器由具有最低扭曲的算子主导。我们考虑了这种领先的最低扭曲多应力张量算子对具有大中心电荷的任何偶数维的 CFT 中的重-重-轻-轻相关器的贡献。无数这样的运算符贡献，但它们的总和由一个简单的 ansatz 描述。我们表明该 ansatz 中的系数可以递归确定，从而提供了计算它们的操作程序。这是通过引导相应的近光锥相关器来实现的：任何最小扭曲的共形数据决定了更高的最小扭曲等。为了在四个时空维度上说明这个过程，我们确定了双应力张量和三重应力张量的贡献。我们计算 OPE 系数；只要文献中有结果，我们就会观察到完全一致。我们还计算了六个时空维度中双应力张量的贡献，并确定了相应的 OPE 系数。在所有情况下，结果都与近光锥相关器的取幂一致。这类似于 Virasoro 真空块在两个时空维度中的情况。