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

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.

arXiv commentminor changes, references added

References in corpus (3)

• Correlation Functions of Conserved Currents in N = 2 Superconformal Theory
• On the logarithmic behaviour in N=4 SYM theory
• Holographic Normal Ordering and Multi-particle States in the AdS/CFT Correspondence

Cited by in corpus (19)

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• The Operator Product Expansion of N=4 SYM and the 4-point Functions of Supergravity
• Higher Spin Symmetry and N=4 SYM
• Integral invariants in N=4 SYM and the effective action for coincident D-branes
• On Non-renormalization and OPE in Superconformal Field Theories
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• A note on composite operators in N=4 SYM
• Superspace approach to anomalous dimensions in {\cal N}=4 SYM
• Conifolds with Discrete Torsion and Noncommutativity
• On instanton contributions to anomalous dimensions in N=4 supersymmetric Yang-Mills theory
• Multi giant graviton systems, SUSY breaking and CFT
• Conformal primaries of OSp(8/4,R) and BPS states in AdS4
• Gauge-invariant correlation functions in light-cone superspace
• On the fermionic Grande Bouffe: more on higher spin symmetry breaking in AdS/CFT
• Systematizing semi-shortening
• On Exceptional Non-renormalization Properties Of N=4 SYM