On Harmonic Superspaces and Superconformal Fields in Four Dimensions

P. Heslop; P. S. Howe

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On Harmonic Superspaces and Superconformal Fields in Four Dimensions

P. Heslop, P. S. Howe

High Energy Physics - Theory · Submitted 15 May 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This allows a description of short representations as explicit products of fundamental fields.

how it is stated · asserted 0.87 read the record →

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.08 · mentions code or data availability 0.01.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Representations of four-dimensional superconformal groups on harmonic superfields are discussed.	contribution 0.73	0.61	0.11	asserted 0.86
s1	It is shown how various short representations can be obtained by parabolic induction.	result 0.54	0.88	0.18	asserted 1.00
s2	It is also shown that such short multiplets may admit several descriptions as superfields on different superspaces.	result 0.95	0.83	0.22	hedged possibility 0.94
s3	In particular, this is the case for on-shell massless superfields.	result 0.79	0.41	0.08	asserted 0.98
s4	This allows a description of short representations as explicit products of fundamental fields.	result 0.71	0.81	0.27	asserted 0.87
s5	Superconformal transformations of analytic fields in real harmonic superspaces are given explicitly.	contribution 0.50	0.88	0.14	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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arXiv listing abstract v1

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full text
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The paper

Original 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.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

The super-correlator/super-amplitude duality: Part I
hep-th 2011-03 conditional novelty 7.0 of 10

The light-cone limit of a supersymmetric correlation function in planar N=4 Yang-Mills reproduces the square of the matching non-MHV scattering super-amplitude, checked explicitly for the n-point NMHV tree amplitude.
On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
hep-th 2002-09 accept novelty 6.0 of 10

At the unitarity threshold a long superconformal multiplet decomposes into four semi-short multiplets, and only the 1/2-BPS [0,p,0] and 1/4-BPS [1,p,1] multiplets are guaranteed to have protected scale dimensions.
Supersymmetric Gauge Theories and the AdS/CFT Correspondence
hep-th 2002-01 accept novelty 2.0 of 10

A pedagogical review that builds N=4 SYM, Type IIB supergravity, and D3-branes from scratch and then works out how AdS/CFT computes correlation functions and holographic RG flows.

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