论文标题
手性较高自旋重力的一环有限性
One-loop Finiteness of Chiral Higher Spin Gravity
论文作者
论文摘要
较高自旋重力背后的主要思想之一是,较高的自旋对称性预计不会留下反对的空间,从而消除了使纯重力不可降低的紫外线差异。但是,直到最近才尚不清楚是否实现了这种机制。我们表明,手性较高的自旋重力是一环有限的,关键点是,尽管该理论并非通过功率计数可天真地恢复范围,但所有单循环$ s $ s $ matrix元素都是紫外线含量的。对于任何数量的腿,一环$ s $ -matrix元素与纯QCD和SDYM中的全加螺旋一环振幅相吻合,模仿了一定的更高的自旋敷料,这是非刺激性理论和更高的旋转重力之间的一种不寻常的关系。
One of the main ideas behind Higher Spin Gravities is that the higher spin symmetry is expected to leave no room for counterterms, thereby eliminating UV divergences that make the pure gravity non-renormalizable. However, until recently it has not been clear if such a mechanism is realized. We show that Chiral Higher Spin Gravity is one-loop finite, the crucial point being that all one-loop $S$-matrix elements are UV-convergent despite the fact that the theory is naively not renormalizable by power counting. For any number of legs the one-loop $S$-matrix elements coincide with all-plus helicity one-loop amplitudes in pure QCD and SDYM, modulo a certain higher spin dressing, which is an unusual relation between the non-gravitational theories and a higher spin gravity.