Superconformal Field Theories, Multiplet Shortening, and the AdS$_5$/SCFT$_4$ Correspondence

TL;DR

This paper reviews the unitarity bounds and multiplet shortening in 4D superconformal algebras, exploring their implications for the AdS/CFT correspondence and applications to spectra and non-perturbative states.

Contribution

It provides a comprehensive review of superconformal multiplet structures and their role in AdS/SCFT duality, including applications to Kaluza-Klein spectra and stringy states.

Findings

Analysis of unitarity bounds for superconformal algebras

Classification of shortened multiplets in $SU(2,2|N)$

Applications to spectra and non-perturbative states

Abstract

We review the unitarity bounds and the multiplet shortening of UIR's of 4 dimensional superconformal algebras $SU(2,2|N)$, ($N=1,2,4$) in view of their dual role in the AdS/SCFT correspondence. Some applications to KK spectra, non-perturbative states and stringy states are given.