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

Comments: 27 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2203.16304