Path-integrals of perturbative superstrings on curved backgrounds from string geometry theory

TL;DR

This paper derives path-integrals for perturbative superstrings on various curved backgrounds using string geometry theory, aiming to contribute to the non-perturbative understanding of string theory.

Contribution

It introduces a method to obtain superstring path-integrals on all backgrounds from string geometry theory, advancing non-perturbative string formulation.

Findings

Path-integrals derived for superstrings on arbitrary backgrounds.

Framework considers fluctuations around background configurations.

Supports non-perturbative approaches in string theory.

Abstract

String geometry theory is one of the candidates of the non-perturbative formulation of string theory. In this paper, from the string geometry theory, we derive path-integrals of perturbative superstrings on all the string backgrounds, $G_{\mu\nu}(x)$ and $B_{\mu\nu}(x)$, by considering fluctuations around the string background configurations, which are parametrized by the string backgrounds.