Static dilaton solutions and singularities in six dimensional warped compactification with higher derivatives

TL;DR

This paper derives static six-dimensional warped compactification solutions with a bulk dilaton, analyzing their stability, singularities, and relation to string theory corrections, providing insights into higher-dimensional models and string cosmology.

Contribution

It presents new static solutions with a bulk dilaton in six dimensions, linking warp factors to string theory beta-functions and analyzing their stability and singularity properties.

Findings

Exponential warp factors correspond to critical points of string beta-functions.

Stability of solutions is discussed at first-order string tension correction.

Solutions exhibit specific singularity behaviors analyzed numerically.

Abstract

Static solutions with a bulk dilaton are derived in the context of six dimensional warped compactification. In the string frame, exponentially decreasing warp factors are identified with critical points of the low energy $\beta$-functions truncated at a given order in the string tension corrections. The stability of the critical points is discussed in the case of the first string tension correction. The singularity properties of the obtained solutions are analyzed and illustrative numerical examples are provided.