Conformal superfields and BPS states in AdS_4/7 geometries

Abstract

We carry out a general analysis of the representations of the superconformal algebras OSp(8/4,R) and OSp(8*/2N) in terms of harmonic superspace. We present a construction of their highest-weight UIR's by multiplication of the different types of massless conformal superfields ("supersingletons"). Particular attention is paid to the so-called "short multiplets". Representations undergoing shortening have "protected dimension" and may correspond to BPS states in the dual supergravity theory in anti-de Sitter space. These results are relevant for the classification of multitrace operators in boundary conformally invariant theories as well as for the classification of AdS black holes preserving different fractions of supersymmetry.

To appear in the proceedings of the Euroconference ``Noncommutative geometry and Hopf algebras in field theory and particle physics", Torino, Villa Gualino (Italy), September 20-30, 1999

References in corpus (8)

• Large N Field Theories, String Theory and Gravity
• Shortening of primary operators in N-extended SCFT_4 and harmonic-superspace analyticity
• Three-point correlators of stress tensors in maximally-supersymmetric conformal theories in d=3 and d=6
• Osp(N|4) supermultiplets as conformal superfields on \partial AdS_4 and the generic form of N=2, D=3 gauge theories
• Three Point Functions of Chiral Primary Operators in d=3, N= 8 and d=6, N=(2,0) SCFT at Large N
• Near-Extremal Correlators and Generalized Consistent Truncation for AdS_{4|7}\times S^{7|4}
• Conformal Fields in Higher Dimensions
• Conformal primaries of OSp(8/4,R) and BPS states in AdS4

Cited by in corpus (9)

• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• Invariant Differential Operators for Non-Compact Lie Algebras Parabolically Related to Conformal Lie Algebras
• Positive energy unitary irreducible representations of D=6 conformal supersymmetry
• N=4 superparticle and super Yang-Mills theory in USp(4) harmonic superspace
• Supercoherent States of OSp(8*|2N), Conformal Superfields and the AdS_7/CFT_6 Duality
• Group-Theoretical Classification of BPS and Possibly Protected States in D=4 Conformal Supersymmetry
• Higher-twist fermionic operators and DIS structure functions from the AdS/CFT duality
• Yangian Symmetry in Five Dimensions
• Classification of Invariant Differential Operators for Non-Compact Lie Algebras via Parabolic Relations