D=10, N=1 Supergravity and Second Order String Corrections

TL;DR

This paper derives second order string corrections to D=10, N=1 supergravity, solving longstanding issues in the non-minimal case by finding consistent solutions to Bianchi identities and calculating torsions and curvatures.

Contribution

It provides the first complete solution for second order string corrections in non-minimal D=10, N=1 supergravity, addressing a long-standing problem in the field.

Findings

Consistent solutions to Bianchi identities in the H sector.

Explicit expressions for torsions and curvatures at second order.

Resolution of a longstanding problem in non-minimal string corrected supergravity.

Abstract

We solve the non-minimal case of string corrected D=10, N=1 Supergravity as the low energy limit of string theory. We find a consistent set of solutions to the Bianchi identities in the H sector, and we also find the torsions and curvatures at second order in the string slope parameter. In so doing we solve a long standing problem in the non minimal case of the perturbative expansion.