Higher-Derivative Gravitation in Bosonic and Superstring Theories

Abstract

A discussion of the number of degrees of freedom, and their dynamical properties, in higher-derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of auxiliary fields. As a by-product we present a consistent non-linear coupling of a spin-2 tensor to gravitation. It is shown that non-vanishing $(C_{μναβ})^{2}$ terms arise in $N=1$, $D=4$ superstring Lagrangians due to one-loop radiative corrections with light field internal lines.

8 pages, LaTeX2e and AMS-LaTeX 1.2, Talk presented at SUSY'95, Ecole Polytechnique in Palaiseau, Palaiseau, France, May 15-19, 1995