The heterotic perturbative vacua in string geometry theory

TL;DR

This paper identifies perturbative heterotic vacua within string geometry theory and derives the path-integrals for heterotic superstrings around these backgrounds, advancing the understanding of non-perturbative string formulations.

Contribution

It introduces a method to identify heterotic vacua in string geometry theory and derives the corresponding path-integrals for heterotic superstrings.

Findings

Identification of heterotic vacua in string geometry theory

Derivation of path-integrals for heterotic superstrings

Framework for analyzing heterotic backgrounds

Abstract

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