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

TL;DR

This paper investigates wave-like solutions in a nonlinear sigma-model with a dilaton, revealing a subclass with regular spacetime geometry and controllably small string coupling, advancing understanding of classical dilaton vacua.

Contribution

It introduces a new class of wave-type solutions in the nonlinear sigma-model with the dilaton, highlighting conditions for regular spacetime and small string coupling.

Findings

Existence of wave-like solutions depending on light-cone variables

Identification of a subclass with regular spacetime geometry

String coupling can be made arbitrarily small in these solutions

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.