MHV amplitudes in super-Yang–Mills and Wilson Loops

Brandhuber, Andreas; Heslop, Paul; Travaglini, Gabriele

doi:10.1016/j.nuclphysb.2007.11.002

Cited by 433 publications

(653 citation statements)

References 47 publications

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“…Section 5 contains our first detailed example of the new duality in action. We evaluate the residues at the physical poles of the n−particle tree-level NMHV super-amplitudes and of the tree-level correlator at Grassmann level (θ) 4 and demonstrate that they match exactly, thus proving the duality between the two objects. Our further examples are presented in [20].…”

Section: New Proposal: Super-correlators/super-amplitudes Dualitymentioning

confidence: 78%

“…The duality was first observed at strong coupling [2] and soon afterwards also at weak coupling [3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 93%

“…These are k−linear gauge invariant composites made of the six real scalars of the N = 4 SYM theory and transforming under the representation [0k0] of SU (4). In perturbation theory such operators do not undergo renormalization and thus their conformal dimension d = k is protected to all orders.…”

Section: The Bosonic Correlators/mhv Amplitudes Dualitymentioning

confidence: 99%

“…The third link in (1.6), Wilson loop ↔ Amplitude, is the least direct one. The two objects are computed in terms of rather different Feynman integrals, so one can only compare their ǫ−expansions [3][4][5][6][7][8]. 2 …”

Section: The Bosonic Correlators/mhv Amplitudes Dualitymentioning

confidence: 99%

“…To this end, we introduce a set of auxiliary commuting variables u +a A (called "harmonic variables" [54]). Apart from the SU(4) index A, they carry an index a = 1, 2 and charge '+' of the "little group" U(2) ⊂ SU (4). Making use of the harmonics, we define projected variables θ +a α = θ A α u +a A , thus converting the SU(4) index into a U(2) index.…”

Section: Chirality Vs Grassmann Analyticitymentioning

confidence: 99%

See 4 more Smart Citations

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

Eden

Heslop

Korchemsky³

et al. 2013

Nuclear Physics B

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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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Section: New Proposal: Super-correlators/super-amplitudes Dualitymentioning

confidence: 78%

“…The duality was first observed at strong coupling [2] and soon afterwards also at weak coupling [3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 93%

Section: The Bosonic Correlators/mhv Amplitudes Dualitymentioning

confidence: 99%

Section: The Bosonic Correlators/mhv Amplitudes Dualitymentioning

confidence: 99%

Section: Chirality Vs Grassmann Analyticitymentioning

confidence: 99%

See 3 more Smart Citations

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

Eden

Heslop

Korchemsky³

et al. 2013

Nuclear Physics B

Self Cite

116

186

View full text Add to dashboard Cite

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Lectures on scattering amplitudes via AdS/CFT

Alday

2008

Fortschritte der Physik

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We review recent progress on computing scattering amplitudes of planar 𝒩 = 4 super Yang‐Mills at strong coupling by using the AdS/CFT duality. We consider in detail the scattering of four gluons and do explicit computations by using both, dimensional regularization and a cut‐off in the radial direction. The later scheme is particularly appropriate for understanding the conformal properties of the amplitudes.

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Duality between Wilson loops and gluon amplitudes

Henn

2009

Fortschritte der Physik

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An intriguing new duality between planar MHV gluon amplitudes and light-like Wilson loops in N = 4 super Yang-Mills is investigated. We extend previous checks of the duality by performing a two-loop calculation of the rectangular and pentagonal Wilson loop. Furthermore, we derive an all-order broken conformal Ward identity for the Wilson loops and analyse its consequences. Starting from six points, the Ward identity allows for an arbitrary function of conformal invariants to appear in the expression for the Wilson loop. We compute this function at six points and two loops and discuss its implications for the corresponding gluon amplitude. It is found that the duality disagrees with a conjecture for the gluon amplitudes by Bern et al. A recent calculation by Bern et al indeed shows that the latter conjecture breaks down at six gluons and at two loops. By doing a numerical comparison with their results we find that the duality between gluon amplitudes and Wilson loops is preserved.

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MHV amplitudes in super-Yang–Mills and Wilson Loops

Cited by 433 publications

References 47 publications

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

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

Lectures on scattering amplitudes via AdS/CFT

Duality between Wilson loops and gluon amplitudes

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