On The Interpolating Solutions of Strings in Different Backgrounds

TL;DR

This paper investigates solutions to string theory equations that interpolate between different backgrounds, showing that such solutions always exist when the target space includes a nearly marginal operator in a conformal field theory.

Contribution

It demonstrates the existence of space (time) dependent interpolating solutions in string theory with specific background conditions involving nearly marginal operators.

Findings

Existence of interpolating solutions between backgrounds in string theory.

Construction of solutions connecting original and perturbed conformal field theories.

Applicability to backgrounds with one spacelike or timelike dimension.

Abstract

We analyze the beta-function equations for string theory in the case when the target space has one spacelike (or timelike) direction and rest is some conformal field theory (CFT) with appropriate central charge and has one nearly marginal operator. We show there always exists a space (time) dependent solution which interpolates between the original background and the background where CFT is replaced by a new conformal field theory, obtained by perturbing CFT by the nearly marginal operator.