Superalgebraic Truncations from D=10, N=2 Chiral Supergravity

TL;DR

This paper systematically explores how ten-dimensional N=2 chiral supergravity can be truncated to lower-dimensional theories using Lie superalgebra SU(8/1) and Kac-Dynkin techniques.

Contribution

It provides a systematic algebraic framework for understanding supergravity truncations via sub-superalgebra chains of SU(8/1).

Findings

Successful realization of superalgebraic truncations as sub-superalgebra chains.

Application of Kac-Dynkin weight techniques to supergravity truncations.

Framework applicable to various supergravity theories.

Abstract

We study ten-dimensional N=2 maximal chiral supergravity in the context of Lie superalgebra SU(8/1). The possible successive superalgebraic truncations from ten dimensional N=2 chiral theory to the lower dimensional supergravity theories are systematically realized as sub-superalgebraic chains of SU(8/1) by using the Kac-Dynkin weight techniques.