Lectures on Twistor Strings and Perturbative Yang-Mills Theory

Abstract

Recently, Witten proposed a topological string theory in twistor space that is dual to a weakly coupled gauge theory. In this lectures we will discuss aspects of the twistor string theory. Along the way we will learn new things about Yang-Mills scattering amplitudes. The string theory sheds light on Yang-Mills perturbation theory and leads to new methods for computing Yang-Mills scattering amplitudes.

57 pages, 14 figures

References in corpus (47)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• New Recursion Relations for Tree Amplitudes of Gluons
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• MHV Vertices And Tree Amplitudes In Gauge Theory
• On the Tree-Level S-Matrix of Yang-Mills Theory
• An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
• One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• Recursion Relations for Gauge Theory Amplitudes with Massive Particles
• On-Shell Recurrence Relations for One-Loop QCD Amplitudes
• One-Loop Amplitudes Of Gluons In SQCD
• Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams
• Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly
• Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
• All Non-Maximally-Helicity-Violating One-Loop Seven-Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• Non-Supersymmetric Loop Amplitudes and MHV Vertices
• A Googly Amplitude from the B-model in Twistor Space
• MHV Vertices and Fermionic Scattering Amplitudes in Gauge Theory with Quarks and Gluinos
• Next-to-Maximal Helicity Violating Amplitudes in Gauge Theory
• Computing One-Loop Amplitudes From The Holomorphic Anomaly Of Unitarity Cuts
• Twistor-Space Recursive Formulation of Gauge-Theory Amplitudes
• A Twistor Approach to One-Loop Amplitudes in N=1 Supersymmetric Yang-Mills Theory
• All Next-to-Maximally-Helicity-Violating One-Loop Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• Parity Invariance For Strings In Twistor Space
• Inherited Twistor-Space Structure of Gravity Loop Amplitudes
• Chern-Simons Gauge Theory As A String Theory
• Tree Level Recursion Relations In General Relativity
• One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
• Recursion Relations for Tree Amplitudes in Super Gauge Theories
• Dissolving N=4 loop amplitudes into QCD tree amplitudes
• Twistor-Inspired Construction of Electroweak Vector Boson Currents
• Multi-Gluon Collinear Limits from MHV diagrams
• Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes
• Six-Point One-Loop N=8 Supergravity NMHV Amplitudes and their IR behaviour
• Compact Formulas for Tree Amplitudes of Six Partons
• A Note on Twistor Gravity Amplitudes
• Twistor Superstring in 2T-Physics
• Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings
• Multigluon amplitudes, $\mathcal{N}=4$ constraints and the WZW model
• A Note on MHV Amplitudes for Gravitons
• Massless and Massive Three Dimensional Super Yang-Mills Theory and Mini-Twistor String Theory
• Orbifolding the Twistor String
• Equivalence of twistor prescriptions for super Yang-Mills
• Systematics of One-Loop Scattering Amplitudes in N=4 Super Yang-Mills Theories
• An interpretation of multigraviton amplitudes

Cited by in corpus (52)

• What is the Simplest Quantum Field Theory?
• On Tree Amplitudes in Gauge Theory and Gravity
• Motivic Amplitudes and Cluster Coordinates
• A direct proof of the CSW rules
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• The S-Matrix in Twistor Space
• The Cut-Constructible Part of QCD Amplitudes
• Unification of Residues and Grassmannian Dualities
• Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes
• Twistor actions for non-self-dual fields; a new foundation for twistor-string theory
• Color-dressed recursive relations for multi-parton amplitudes
• Recursion Relations for Gauge Theory Amplitudes with Massive Vector Bosons and Fermions
• Recursive Calculation of One-Loop QCD Integral Coefficients
• Two-Loop Amplitudes of Gluons and Octa-Cuts in N=4 Super Yang-Mills
• Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients
• Prescriptive Unitarity
• Scattering Amplitudes and Wilson Loops in Twistor Space
• A recursive method for SYM n-point tree amplitudes
• One-loop phi-MHV amplitudes using the unitarity bootstrap
• Six Gluon Open Superstring Disk Amplitude, Multiple Hypergeometric Series and Euler-Zagier Sums
• BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory
• An ambitwistor Yang-Mills Lagrangian
• An Introduction to On-shell Recursion Relations
• The rational parts of one-loop QCD amplitudes I: The general formalism
• The Topological B-model on a Mini-Supertwistor Space and Supersymmetric Bogomolny Monopole Equations
• One-loop MHV Rules and Pure Yang-Mills
• Amplitudes in Pure Yang-Mills and MHV Diagrams
• Single twistor description of massless, massive, AdS, and other interacting particles
• Superspace formulations of the (super)twistor string
• Self-Dual Supergravity and Twistor Theory
• Higher Level String Resonances in Four Dimensions
• Pomerons and BCFW recursion relations for strings on D-branes
• A Deformation of Twistor Space and a Chiral Mass Term in N=4 Super Yang-Mills Theory
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• (Non)-supersymmetric Marginal Deformations from Twistor String Theory
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
• Yang-Mills Theory in Twistor Space
• Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes
• General relativity as a biconformal gauge theory
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• Marginal Deformations of Tree-Level N=4 SYM from Twistor String Theory
• Persistent Challenges of Quantum Chromodynamics
• Dual conformal constraints and infrared equations from global residue theorems in N=4 SYM theory
• Logarithmic Singularities and Maximally Supersymmetric Amplitudes
• Twistors, strings and supersymmetric gauge theories
• The Geometry of Jordan Matrix Models
• Mass-spin relation for quark anti-quark bound states in non-commutative Yang-Mills theory
• Perturbative Gravity and Gauge Theory Relations -- A Review
• Twistor string as tensionless superstring
• Cachazo-Svrcek-Witten Rules for Tree-Level Gluonic Amplitudes Revisited
• Helicity Constraints To Soft Factor Of All Spin
• Gravity Amplitudes from a Gaussian Matrix Model