Conformal primaries of OSp(8/4,R) and BPS states in AdS4

TL;DR

This paper classifies BPS states in 3d N=8 superconformal theories by deriving short unitary irreducible representations of the OSp(8/4,R) superalgebra, providing a superfield realization relevant for M-theory compactifications.

Contribution

It derives and constructs superfield realizations of BPS states as ultrashort multiplets of the OSp(8/4,R) superalgebra, extending the understanding of superconformal representations in AdS4.

Findings

Derived short unitary irreducible representations of OSp(8/4,R).

Constructed superfield realizations of BPS states as composite operators.

Classified perturbative and non-perturbative excitations in M-theory contexts.

Abstract

We derive short UIR's of the OSp(8/4,R) superalgebra of 3d N=8 superconformal field theories by the requirement that the highest weight states are annihilated by a subset of the super-Poincare odd generators. We then find a superfield realization of these BPS saturated UIR's as "composite operators" of the two basic ultrashort "supersingleton" multiplets. These representations are the AdS4 analogue of BPS states preserving different fractions of supersymmetry and are therefore suitable to classify perturbative and non-perturbative excitations of M-theory compactifications.