10D Supergravity Numerical Data Sets for L & R Matrices

TL;DR

This paper provides explicit numerical data sets for 10D supergravity L and R matrices, derived from on-shell supergravity calculations, serving as a foundation for future embedding into off-shell frameworks.

Contribution

It introduces the first complete numerical data sets for 10D supergravity L and R matrices, facilitating further theoretical exploration and embedding into off-shell models.

Findings

Derived super-current in on-shell supergravity.

Explicit numerical L and R matrices data sets.

Established groundwork for off-shell matrix embedding.

Abstract

After reviewing the development of 10D, superspace theories, and their relations to superstring and heterotic string theories, explicit calculations are undertaken in the on-shell $\cal N$ = 1 linearized supergravity, the associated super-current is derived, and non-closure terms are explicitly given. The $L_{\rm I}$ and $R_{\rm I}$ adjacency matrices are then computed in complete numerical form as data sets. This is the preliminary step required to perform a scan to embed the on-shell matrices into off-shell ones.