Consistent Superalgebraic Truncations from D=5, N=5 Supergravity

TL;DR

This paper systematically analyzes how five-dimensional N=5 supergravity can be truncated to lower N theories using Lie superalgebra SU(5/2) and Kac-Dynkin techniques.

Contribution

It introduces a systematic method for superalgebraic truncations from N=5 to N=1 supergravity in five dimensions.

Findings

Identifies the chain of sub-superalgebras SU(5/2) to SU(1/2)

Uses Kac-Dynkin weight techniques for analysis

Provides a structured framework for supergravity truncations

Abstract

We study a novel five-dimensional, {\it N}=5 supergravity in the context of Lie superalgebra SU(5/2). The possible successive superalgebraic truncations from {\it N}=5 theory to the lower supersymmetric {\it N}=4,3,2, and 1 supergravity theories are systematically analyzed as a sub-superalgebraic chain of SU(5/2)$\supset$ SU(4/2) $\supset$ SU(3/2) $\supset$ SU(2/2) $\supset$ SU(1/2) by using the Kac-Dynkin weight techniques.