Successive Superalgebraic Truncations from the Four-Dimensional Maximal Supergravity

TL;DR

This paper systematically explores how four-dimensional N=8 supergravity can be truncated to lower N supergravity theories using Lie superalgebra chains, providing a structured algebraic framework.

Contribution

It introduces a systematic method to realize all superalgebraic truncations from N=8 to N=1 supergravity via sub-superalgebra chains of SU(8/1).

Findings

All possible truncations are realized as sub-superalgebra chains.

The method employs Kac-Dynkin weight techniques.

Provides a unified algebraic framework for supergravity truncations.

Abstract

We study the four-dimensional {\it N}=8 maximal supergravity in the context of Lie superalgebra SU(8/1). All possible successive superalgebraic truncations from four-dimensional {\it N}=8 theory to {\it N}=7, 6, $\cdots$, 1 supergravity theories are systematically realized as sub-superalgebra chains of SU(8/1) by using the Kac-Dynkin weight techniques.