论文标题
关于重力的1循环校正与天体算子产品的关联性
On the associativity of 1-loop corrections to the celestial operator product in gravity
论文作者
论文摘要
重力振幅的全态共线奇异性是否定义了一致的手性代数的问题，最近引起了人们的关注。我们分析了这个问题的一个版本，以实现4D爱因斯坦重力的自偶联扇区周围的无限扰动。在这种扰动中，树振幅的奇异性确实形成了一致的手性代数，但是在1循环的其操作员产品下，有效的Graviton顶点可以校正。我们认为，这种手性代数可以解释为自二重力的扭曲器隆起中的通用全态表面缺陷，并表明相同的校正是由整体缺陷系统中的异常图引起的。 1循环全态共线性奇异性不会形成一致的手性代数。联想的失败可以追溯到最近发现的扭曲空间引力异常的存在。可以通过耦合到异常的四阶重力轴轴进行恢复，该轴是通过绿色 - 雪Warz机构取消异常的。另外，异常在某些自我双重重力理论中消失了，耦合到了重要的，包括自助力超级重力。
The question of whether the holomorphic collinear singularities of graviton amplitudes define a consistent chiral algebra has garnered much recent attention. We analyse a version of this question for infinitesimal perturbations around the self-dual sector of 4d Einstein gravity. The singularities of tree amplitudes in such perturbations do form a consistent chiral algebra, however at 1-loop its operator products are corrected by the effective graviton vertex. We argue that this chiral algebra can be interpreted as the universal holomorphic surface defect in the twistor uplift of self-dual gravity, and show that the same correction is induced by an anomalous diagram in the bulk-defect system. The 1-loop holomorphic collinear singularities do not form a consistent chiral algebra. The failure of associativity can be traced to the existence of a recently discovered gravitational anomaly on twistor space. It can be restored by coupling to an unusual 4th-order gravitational axion, which cancels the anomaly by a Green-Schwarz mechanism. Alternatively, the anomaly vanishes in certain theories of self-dual gravity coupled to matter, including in self-dual supergravity.
