Dual superconformal symmetry of scattering amplitudes in super-Yang–Mills theory

Drummond, J. M.; Henn, Johannes M.; Korchemsky, G.P.; Sokatchev, E.

doi:10.1016/j.nuclphysb.2009.11.022

Cited by 525 publications

(1,122 citation statements)

References 63 publications

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“…They are described in Nair's on-shell chiral superspace [37]. In addition to on-shell supersymmetry, they have a hidden dual superconformal symmetry [13,14]. It is made manifest by completing the bosonic T-duality (1.1) with its fermionic analog q i α = θ i α − θ i+1 α , where q i α are the on-shell super-charges and θ i α are the chiral coordinates of dual superspace.…”

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

confidence: 99%

“…They break the superconformal (k, s ands) symmetry but preserve Poincaré supersymmetry. In addition to this, the superamplitudes (2.2) possess yet another, hidden symmetry, the so-called dual superconformal symmetry [13]. It becomes manifest after rewriting the super-amplitude in the dual chiral superspace with coordinates…”

Section: Scattering Super-amplitudesmentioning

confidence: 99%

“…Consequently, the operator (2.12) has welldefined conformal properties, with fixed conformal weight two. The correlator we are discussing is 13) where for the sake of simplicity we do not display the SO(6) indices of the operators. The first subscript in G n;0 refers to the number of points and the second subscript '0' indicates that this is the lowest term in a whole collections of correlators of bosonic and fermionic composite operators, corresponding to various states in the stress-tensor multiplet (see Section 4).…”

Section: The Bosonic Correlators/mhv Amplitudes Dualitymentioning

confidence: 99%

“…16 Alternatively, the multiplets of this type 13 This superfield has the geometric meaning of the super-curvature in the anticommutator of two spinor covariant derivatives of the same chirality.…”

Section: The N = 4 Chiral Vector Multiplet As a 1/2 Bps Multipletmentioning

confidence: 99%

“…Detailed studies of the super-amplitudes describing the scattering of all kinds of particles (gluons, gluinos and scalars) in the N = 4 SYM theory [13], and of the string sigma model [14] led to the discovery of a larger, dual superconformal symmetry. This symmetry was proven at tree-level in [15].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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

confidence: 99%

Section: Scattering Super-amplitudesmentioning

confidence: 99%

Section: The Bosonic Correlators/mhv Amplitudes Dualitymentioning

confidence: 99%

Section: The N = 4 Chiral Vector Multiplet As a 1/2 Bps Multipletmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Eden

Heslop

Korchemsky³

et al. 2013

Nuclear Physics B

116

186

View full text Add to dashboard Cite

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T‐Duality, dual conformal symmetry and integrability for strings on AdS₅ × S⁵

Beisert

2009

Fortschritte der Physik

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In recent years two intriguing observations have been made for N = 4 super Yang-Mills theory and for superstrings on AdS5 × S 5 : In the planar limit the computation of the spectrum is vastly simplified by the apparent integrability of the models. Furthermore, planar scattering amplitudes of the gauge theory display remarkable features which have been attributed to the appearance of a dual superconformal symmetry. Here we review the connection of these two developments from the point of view of the classical symmetry by means of a super-T-self-duality. In particular, we show explicitly how the charges of conformal symmetry and of the integrable structure are related to the dual ones.

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