Uniqueness of superstring actions

Journal article, 1984

We consider local counterterms to 4-dimensional gravity and 4- and 10-dimensional super-gravity theories in the light-front gauge. With the technique developed, we show that there are no local counterterms other than the lagrangian possible in the superstring thoeries. This is a strong indication that these theories are finite or at least renormalizable to allorders in the perturbation expansions.