On short and long SU(2,2/4) multiplets in the AdS/CFT correspondence

L. Andrianopoli; S. Ferrara

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On short and long SU(2,2/4) multiplets in the AdS/CFT correspondence

L. Andrianopoli, S. Ferrara

High Energy Physics - Theory · Submitted 8 Dec 1998

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The authors' main claim Among them, higher spin long and new short multiplets appear, having the interpretation, in the AdS/CFT correspondence, of string states and supergravity multiparticle states respectively.

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We analyze short and long multiplets which appear in the OPE expansion of ``chiral'' primary operators in N=4 Super Yang--Mills theory. Among them, higher spin long and new short multiplets appear, having the interpretation, in the AdS/CFT correspondence, of string states and supergravity multiparticle states respectively. We also analyze the decomposition of long multiplets under N=1 supersymmetry, as a possible tool to explore other supersymmetric deformations of IIB string on AdS_5 x S_5.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We analyze short and long multiplets which appear in the OPE expansion of ``chiral'' primary operators in N=4 Super Yang--Mills theory.	contribution 0.99	0.91	0.08	asserted 0.95
s1	Among them, higher spin long and new short multiplets appear, having the interpretation, in the AdS/CFT correspondence, of string states and supergravity multiparticle states respectively.	interpretation 0.71	0.78	0.44	asserted 0.98
s2	We also analyze the decomposition of long multiplets under N=1 supersymmetry, as a possible tool to explore other supersymmetric deformations of IIB string on AdS_5 x S_5.	contribution 0.79	0.92	0.09	hedged possibility 0.91

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Original abstract

We analyze short and long multiplets which appear in the OPE expansion of ``chiral'' primary operators in N=4 Super Yang--Mills theory. Among them, higher spin long and new short multiplets appear, having the interpretation, in the AdS/CFT correspondence, of string states and supergravity multiparticle states respectively. We also analyze the decomposition of long multiplets under N=1 supersymmetry, as a possible tool to explore other supersymmetric deformations of IIB string on AdS_5 x S_5.

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References

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Cited by 9 Pith papers

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

The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
hep-th 2003-03 accept novelty 8.0 of 10

The two-loop dilatation operator for pure scalar operators in N=4 super Yang-Mills is derived, yielding many new anomalous dimensions and revealing an unexpected planar symmetry tied to spin-chain integrability.
The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
hep-th 2004-07 accept novelty 7.0 of 10

The complete one-loop dilatation operator of N=4 super Yang-Mills is fixed by superconformal symmetry, shown to be integrable in the planar limit, and solved by a Bethe ansatz.
Superconformal Symmetry, Correlation Functions and the Operator Product Expansion
hep-th 2001-12 accept novelty 7.0 of 10

Superconformal symmetry fixes the four point function of chiral primary operators up to one function of two variables, and the paper uses this to write the operator product expansion in terms of complete supermultiplets.
Exact Correlators of Giant Gravitons from dual N=4 SYM
hep-th 2001-11 accept novelty 7.0 of 10

Exact finite-N correlators of half-BPS operators in free N=4 SYM are derived and organized by Young diagrams, yielding a dictionary between diagram shapes and giant graviton states in AdS5 x S5.
How to go with an RG Flow
hep-th 2001-05 conditional novelty 7.0 of 10

Holographic renormalization yields finite one- and two-point functions of the stress tensor and mixing scalar in two 5D supergravity domain walls, with a massless dilaton pole only for the spontaneously broken Coulomb...

Show 4 more citing papers

Unmixing Supergravity
hep-th 2017-06 accept novelty 6.0 of 10

The paper resolves the mixing of double-trace operators in the supergravity limit of N=4 super Yang-Mills and gives closed-form anomalous dimensions and three-point functions for a large family of them.
Massless Higher Spins and Holography
hep-th 2002-05 conditional novelty 6.0 of 10

The paper argues that free large-N superconformal field theories are holographically dual to massless higher-spin gauge theories in AdS, and constructs the 7D supersymmetric higher-spin algebra plus a rotating membran...
Large N Field Theories, String Theory and Gravity
hep-th 1999-05 accept novelty 3.0 of 10

The review argues and assembles the evidence that N=4 supersymmetric Yang-Mills theory in four dimensions is dual to type IIB string theory on AdS5 x S5, and surveys what the duality predicts.
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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6 arXiv papers cite this in 6 sentences

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Cites it as background 2 papers

For details see these papers [ref] and references their in.

Exact Large R-charge Correlators in ABJM Theory · Review and Notation: · 1.00
See also some relevant papers on the construction of the composite operators built out of the singleton [ref] .

Worldsheet Free Fields, Higher Spin Symmetry and Free ${\cal N}=4$ Super Yang-Mills · Introduction · 0.94

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