标题： 走向有限的量子超引力 显示英文标题

标题： Towards a finite quantum supergravity

摘要： 本文研究了四维中一个摄动超重正则（非定域）引力理论的N=1超对称扩展。 非定域超引力理论是幂计数超重正则的，并且具有与局部N=1超引力相同的粒子内容，在树图水平上是幺正的（作为简单例子，三维N=1和N=2超引力的幺正性被证明）。 我们认为对于N=4或者N=8的扩展SO(N)超引力可能在一环时也无发散。 那么这些扩展的超引力将在圈展开的任意阶次下都表现为有限。 显示英文摘要

摘要： In this paper we study an N=1 supersymmetric extension of a perturbatively super-renormalizable (nonlocal)theory of gravity in four dimensions. The nonlocal supergravity theory is power-counting super-renormalizable and tree level unitary with the same particle content of the local N=1 supergravity (as simple example, unitarity of the three dimensional N=1 and N=2 supergravity is proved). We believe that extended SO(N) supergravity, for N=4 or N=8, might be free from divergences also at one loop. The extended supergravities would then result finite at any order in the loop expansion.