On Harmonic Superspaces and Superconformal Fields in Four Dimensions

Abstract

Representations of four-dimensional superconformal groups on harmonic superfields are discussed. It is shown how various short representations can be obtained by parabolic induction. It is also shown that such short multiplets may admit several descriptions as superfields on different superspaces. In particular, this is the case for on-shell massless superfields. This allows a description of short representations as explicit products of fundamental fields. Superconformal transformations of analytic fields in real harmonic superspaces are given explicitly.

31 pages, latex

References in corpus (4)

• Three-Loop Four-Point Correlator in N=4 SYM
• Some Aspects of Deformations of Supersymmetric Field Theories
• Extremal correlators in four-dimensional SCFT
• Four-point functions in N=2 superconformal field theories

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• OPEs and 3-point correlators of protected operators in N=4 SYM
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• Systematics of Quarter BPS operators in N=4 SYM
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• Aspects of superconformal field theories in six dimensions
• Deriving Projective Hyperspace from Harmonic
• Positive energy unitary irreducible representations of D=6 conformal supersymmetry
• Operator mixing in N=4 SYM: The Konishi anomaly revisited
• Superfield representations of superconformal groups
• Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R)
• Composite operators and form factors in N=4 SYM
• A new holographic limit of AdS5 x S5
• N=4 super-Yang-Mills in LHC superspace. Part II: Non-chiral correlation functions of the stress-tensor multiplet
• N=4 superparticle and super Yang-Mills theory in USp(4) harmonic superspace
• SU(2|1) mechanics and harmonic superspace
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• First-quantized N=4 Yang-Mills
• Gauge-invariant correlation functions in light-cone superspace
• Superconformal spaces and implications for superstrings
• Pre-potential in the $Ad{S}_5\times S^5$ Type IIB superspace
• Group-Theoretical Classification of BPS and Possibly Protected States in D=4 Conformal Supersymmetry
• $N=2$ quantum chiral superfields and quantum super bundles
• A note on the perturbative properties of BPS operators
• Towards harmonic superfield formulation of $N=4$, $USp(4)$ SYM theory with the central charge
• Conformally coupled supermultiplets in four and five dimensions
• Systematizing semi-shortening
• Group-Theoretical Classification of BPS States in D=4 Conformal Supersymmetry: the Case of (1/N)-BPS