A note on four-point functions of conformal operators in N=4 Super-Yang Mills

Gonzalez-Rey, F.; Park, In-Yong; Schalm, Koenraad

doi:10.1016/s0370-2693(99)00017-9

Cited by 78 publications

(121 citation statements)

References 3 publications

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“…This is contrary to the results of [9,10,12,13,38], where it was explicitly shown that various n ≥ 4 point functions do, in fact, get renormalized. Again, we have conjectured that the U (1) Y selection rule actually is exact for n ≤ 4 point functions, which would imply non-renormalization only for n ≤ 3 point functions.…”

contrasting

confidence: 99%

“…Subsequently it was pointed out to me by D. Freedman [10] that the four-point function of the stress tensor T µν must get renormalized, already in perturbation theory, because of results already appearing in [11]: the OPE of two T µν stress tensors contains the Konishi current, and the anomalous dimension of the Konishi current receives g Y M quantum corrections (even in the N = 4 theory). In addition, the first-order radiative contributions to the four-point function of the superconformal primary operator O 2 (to be discussed in what follows) were subsequently explicitly calculated [12,13] and were indeed found to be non-vanishing. In sum, the result we obtained via N = 4 harmonic superspace is definitely incorrect.…”

Section: The Normalization Of N = 4 Operatorsmentioning

confidence: 97%

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Bonus symmetries of N = 4 super-Yang-Mills correlation functions via AdS duality

1999

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General conjectures about the SL(2, Z) modular transformation properties of N = 4 super-Yang-Mills correlation functions are presented. It is shown how these modular transformation properties arise from the conjectured duality with IIB string theory on AdS 5 × S 5 . We discuss in detail a prediction of the AdS duality: that N = 4 field theory, in an appropriate limit, must exhibit bonus symmetries, corresponding to the enhanced symmetries of IIB string theory in its supergravity limit. 11/98

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contrasting

confidence: 99%

Section: The Normalization Of N = 4 Operatorsmentioning

confidence: 97%

Bonus symmetries of N = 4 super-Yang-Mills correlation functions via AdS duality

1999

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“…In the context of the AdS/CFT correspondence, the 1/2 BPS operators are dual to massive Kaluza-Klein modes in the compactification of type IIB supergravity on an AdS 5 × S 5 background [1]. The correlators of 1/2 BPS operators were the subject of numerous studies in the early days of the AdS/CFT correspondence [24][25][26][27][28][29][30][31][32]. Of course, no direct comparison between the weakly coupled perturbative results for such correlators and their strongly coupled duals, the amplitudes of AdS supergravity KK modes, was conceivable.…”

Section: The Bosonic Correlators/mhv Amplitudes Dualitymentioning

confidence: 99%

The super-correlator/super-amplitude duality: Part I

Eden

Heslop

Korchemsky³

et al. 2013

Nuclear Physics B

116

186

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We extend the recently discovered duality between MHV amplitudes and the light-cone limit of correlation functions of a particular type of local scalar operators to generic non-MHV amplitudes in planar N = 4 SYM theory. We consider the natural generalization of the bosonic correlators to super-correlators of stress-tensor multiplets and show, in a number of examples, that their light-cone limit exactly reproduces the square of the matching super-amplitudes. Our correlators are computed at Born level. If all of their points form a light-like polygon, the correlator is dual to the tree-level amplitude. If a subset of points are not on the polygon but are integrated over, they become Lagrangian insertions generating the loop corrections to the correlator. In this case the duality with amplitudes holds at the level of the integrand. We build up the superspace formalism needed to formulate the duality and present the explicit example of the n−point NMHV tree amplitude as the dual of the lowest nilpotent level in the correlator.

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“…For the correlation function of only four purely scalar operators the integrand is known to a high loop order [40][41][42][43][44]. We can use the results to check whether the correlators can be constructed from cuts and what those cuts are.…”

Section: Operators At Generic Pointsmentioning

confidence: 99%

Lagrangian insertion in the light-like limit and the super-correlators/super-amplitudes duality

Engelund

2016

J. High Energ. Phys.

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In these notes we describe how to formulate the Lagrangian insertion technique in a way that mimics generalized unitarity. We introduce a notion of cuts in position space and show that the cuts of the correlators in the super-correlators/super-amplitudes duality correspond to generalized unitarity cuts of the equivalent amplitudes. The cuts consist of correlation functions of operators in the chiral part of the stress-tensor multiplet as well as other half-BPS operators. We will also discuss the application of the method to other correlators as well as non-planar contributions.

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A note on four-point functions of conformal operators in N=4 Super-Yang Mills

Cited by 78 publications

References 3 publications

Bonus symmetries of N = 4 super-Yang-Mills correlation functions via AdS duality

Bonus symmetries of N = 4 super-Yang-Mills correlation functions via AdS duality

The super-correlator/super-amplitude duality: Part I

Lagrangian insertion in the light-like limit and the super-correlators/super-amplitudes duality

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