Amplitudes, form factors and the dilatation operator in N = 4 $$ \mathcal{N}=4 $$ SYM theory

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Abstract:We incorporate all gauge-invariant local composite operators into the twistorspace formulation of N = 4 SYM theory, detailing and expanding on ideas we presented recently in [1]. The vertices for these operators contain infinitely many terms and we show how they can be constructed by taking suitable derivatives of a light-like Wilson loop in twistor space and shrinking it down to a point. In particular, these vertices directly yield the tree-level MHV super form factors of all composite operators in N = 4 SYM theory.

Section: Jhep06(2016)162mentioning

confidence: 99%

All tree-level MHV form factors in N $$ \mathcal{N} $$ = 4 SYM from twistor space

Koster¹,

Mitev²,

Staudacher³

et al. 2016

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“…Generalized unitarity can also be applied to objects containing local gauge-invariant operators such as correlation functions [5] and form factors [6,7,[26][27][28][29][30][31][32][33][34][35][36]. Since generalized unitarity is a momentum space method, the local operators will have to be Fourier transformed.…”

Section: Generalized Unitaritymentioning

confidence: 99%

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

Engelund

2016

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.

“…However, we may proceed considering form factors of the lowest component of Konishi operator supermultiplet, where only external states are taken into account in manifestly supersymmetric way [32]. The lowest component of Konishi operator supermultiplet is given by operator…”

Section: Form Factors Of Konishi Operator Supermultipletmentioning

confidence: 99%

On soft theorems and form factors in N = 4 $$ \mathcal{N}=4 $$ SYM theory

Bork¹,

Onishchenko²

2015

Soft theorems for the form factors of 1/2-BPS and Konishi operator supermultiplets are derived at tree level in N = 4 SYM theory. They have a form identical to the one in the amplitude case. For MHV sectors of stress tensor and Konishi operator supermultiplets loop corrections to soft theorems are considered at one loop level. They also appear to have universal form in the soft limit. Possible generalization of the on-shell diagrams to the form factors based on leading soft behavior is suggested. Finally, we give some comments on inverse soft limit and integrability of form factors in the limit q 2 → 0.