The perturbative vacua in string geometry theory

TL;DR

This paper identifies perturbative vacua in string geometry theory, enabling derivation of perturbative string path integrals around these backgrounds, advancing the understanding of non-perturbative string theory formulations.

Contribution

It fully characterizes perturbative vacua in bosonic closed string sector within string geometry theory, linking non-perturbative and perturbative frameworks.

Findings

Identified all perturbative vacua in bosonic closed string sector.

Derived path-integrals of perturbative strings around these vacua.

Established a connection between string geometry theory and perturbative string backgrounds.

Abstract

String geometry theory is one of the candidates of the non-perturbative formulation of string theory. In this paper, in the bosonic closed sector of string geometry theory, we completely identify the perturbative vacua, which include general string backgrounds in bosonic closed string theory. From fluctuations around these configurations, we derive the path-integrals of perturbative strings on the string backgrounds up to any order.