From Super-AdS_5xS^5 Algebra to Super-pp-wave Algebra

TL;DR

This paper derives the isometry algebras of maximally supersymmetric IIB supergravity solutions by contracting the super-AdS_5xS^5 algebra, revealing how supersymmetry is preserved under these limits.

Contribution

It introduces a unified contraction framework for deriving super-pp-wave and flat space algebras from super-AdS_5xS^5 algebra, maintaining supersymmetry.

Findings

Super-AdS_5xS^5 algebra can be contracted to super-pp-wave algebra.

Supersymmetry count remains unchanged under contractions.

Jacobi identity holds regardless of contraction parameters.

Abstract

The isometry algebras of the maximally supersymmetric solutions of IIB supergravity are derived by the Inonu-Wigner contractions of the super-AdS_5xS^5 algebra. The super-AdS_5xS^5 algebra allows introducing two contraction parameters; the one for the Penrose limit to the maximally supersymmetric pp-wave algebra and the AdS_5xS^5 radius for the flat limit. The fact that the Jacobi identity of three supercharges holds irrespectively of these parameters reflects the fact that the number of supersymmetry is not affected under both contractions.