Composite Operators in the Twistor Formulation ofN=4Supersymmetric Yang-Mills Theory

2016/03/14 by Laura Koster, Vladimir Mitev, Matthias Staudacher +1 · 4 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Black Holes and Theoretical Physics #Composite number #Computer science #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Particle physics theoretical and experimental studies #Pure mathematics #Space (punctuation) #Twistor space #Twistor theory #hep-th #math-ph #math.MP

paper · pdf · doi:10.1103/physrevlett.117.011601

published as Phys. Rev. Lett. 117, 011601 (2016) · letter, 5 pages, 1 figure

arxiv created 2016/03/14 · openalex created_date 2016/06/24 · openalex publication_date 2016/06/29 · arxiv updated 2016/07/06 · openalex updated_date 2026/08/05

Abstract

We incorporate gauge-invariant local composite operators into the twistor-space formulation of N=4 super Yang-Mills theory. In this formulation, the interactions of the elementary fields are reorganized into infinitely many interaction vertices and we argue that the same applies to composite operators. To test our definition of the local composite operators in twistor space, we compute several corresponding form factors, thereby also initiating the study of form factors using the position twistor-space framework. Throughout this Letter, we use the composite operator built from two identical complex scalars as a pedagogical example; we treat the general case in a follow-up paper.

Citations

• Dual superconformal invariance, momentum twistors and Grassmannians
• Are scattering amplitudes dual to super Wilson loops?
• Twistor actions for gauge theory and gravity
• Maximally helicity-violating diagrams in twistor space and the twistor action
• On-shell diagrams, Graßmannians and integrability for form factors
• On-shell methods for the two-loop dilatation operator and finite remainders
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Correlation functions of the chiral stress-tensor multiplet in N=4 SYM
• Form factors in N = 4 super Yang-Mills and periodic Wilson loops
• Amplitudes, form factors and the dilatation operator in N = 4 N=4 SYM theory

Cited by

• On Form Factors and Correlation Functions in Twistor Space
• Demystifying the twistor construction of composite operators in N=4 super-Yang-Mills theory
• Form factors and correlation functions in N = 4 super Yang-Mills theory from twistor space
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality

Related

• Form factors and correlation functions in N = 4 super Yang-Mills theory from twistor space
• On Form Factors and Correlation Functions in Twistor Space
• All Tree-Level MHV Form Factors in N=4 SYM from Twistor Space
• A Twistorial Approach to Integrability in N=4 SYM
• Super Yang-Mills Theory as a Twistor Matrix Model