Non-trivial renormalization group fixed points and solutions of string field theory equations of motion

Abstract

If we perturb a conformal field theory by a nearly marginal operator of dimension (1−h, 1−h), we get a nearby fixed point at a value of order h of the coupling constant. Starting from a string field theory based on the original conformal field theory, we show how to construct a solution of the classical equations of motion of this string field theory that represents the conformal field theory at the new fixed point. We also discuss the construction of time-dependent classical solutions that interpolate between these two fixed points, and the application of these results to the cosmological solutions of Antoniadis et al.