Fivebrane Lagrangian with Loop Corrections in Field-Theory Limit

TL;DR

This paper derives the equations of motion and Lagrangian for dual D=10, N=1 supergravity as a fivebrane field theory limit, incorporating loop corrections from heterotic string approximations.

Contribution

It explicitly formulates the dual supergravity Lagrangian with loop corrections based on heterotic string Bianchi identities and sigma-model approximations.

Findings

Derived dual supergravity Lagrangian with one-loop five-brane corrections.

Connected string theory approximations to supergravity field equations.

Provided explicit equations of motion in the fivebrane field theory context.

Abstract

Equations of motion and the lagrangian are derived explicitely for Dual D=10, N=1 Supergravity considered as a field theory limit of a Fivebrane. It is used the mass-shell solution of Heterotic String Bianchi Identites obtained in the 2-dimensional $\sigma$-model two-loop approximation and in the tree-level Heterotic String approximation. As a result the Dual Supergravity lagrangian is derived in the one-loop Five-Brane approximation and in the lowest 6-dimensional $\sigma$-model approximaton.