论文标题
来自超对称激体的全息热相关剂
Holographic thermal correlators from supersymmetric instantons
论文作者
论文摘要
我们为在四维全息形式的共形场理论中提出了热标量两点函数的精确公式。发现它的问题减少了对ADS-Schwarzschild背景的波方程的分析。从HEUN方程的连接系数中计算了两点函数，可以根据SU（2）超对称仪表理论的Nekrasov-shatashvili分区函数表示，该函数具有四个基本的超级超级次数。结果可以在分区函数的收敛膨胀中截断激体数量后，可以接受数值评估。我们还以各种限制对其进行分析检查。在大型旋转时，热两个点函数的激体扩展直接映射到重度光四点函数的轻锥引导分析。使用此连接，我们计算重型双扭击操作员的OPE数据。我们将我们的预测与文献中可用的扰动结果进行了比较，并找到了完美的一致性。
We present an exact formula for the thermal scalar two-point function in four-dimensional holographic conformal field theories. The problem of finding it reduces to the analysis of the wave equation on the AdS-Schwarzschild background. The two-point function is computed from the connection coefficients of the Heun equation, which can be expressed in terms of the Nekrasov-Shatashvili partition function of an SU(2) supersymmetric gauge theory with four fundamental hypermultiplets. The result is amenable to numerical evaluation upon truncating the number of instantons in the convergent expansion of the partition function. We also examine it analytically in various limits. At large spin the instanton expansion of the thermal two-point function directly maps to the light-cone bootstrap analysis of the heavy-light four-point function. Using this connection, we compute the OPE data of heavy-light double-twist operators. We compare our prediction to the perturbative results available in the literature and find perfect agreement.
