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

Abstract

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