Wave-type Solutions in the Nonlinear $\sigma$-model with the Dilaton

Abstract

We study a class of classical dilaton vacua in string theory that depend on the light-cone variable $z=t\pm x$ and, thus, have wavelike behavior. One of the interesting results is the existence of a solution subclass with perfectly regular space-time geometry, where the string coupling constant can be made arbitrarily small.

7 pages LaTeX, preprint ITP-SB-93-08 [[ one very important reference added ]]