一种共形超引力理论

我们知道,Poincar(?)超引力和de Sitter超引力理论有一个也许是严重的困难:由于它们包含的内部对称群是O(N)群,当N≤8吋,O(N)群不包含SU(3)(?)SU(2)(?)U(1)群作为子群,而这是目前认为可能统一描述强、弱和电磁相互作用的最小规范群;当N>8时,描述内部对称性的O(N)模型就必定包含自旋>2的粒子,这样的粒子迄今为止不但实验上没有观测到,而且也没有为其它一些取得成就的理论所预言,因此,这样一种理论究竟有没有生命力是很难说的。

A THEORY OF CONFORMAL SUPERGRAVITY

In this paper a theory of eonformal supergravity is constructed on the basis of the theory of conformal gravity suggested by the authors recently. The difficulties of the Weyl gravity have been avoided. The action is taken as an invariant of the Yang-Mills type on the superconformal algebra, and the massless Rarita-Sehwinger action follows automatically. This theory also contains a U(1) gauge field.