Perturbative Gauge Theory As A String Theory In Twistor Space

Abstract

Perturbative scattering amplitudes in Yang-Mills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes. To interpret these results, we Fourier transform the scattering amplitudes from momentum space to twistor space, and argue that the transformed amplitudes are supported on certain holomorphic curves. This in turn is apparently a consequence of an equivalence between the perturbative expansion of $\mathcal{N}=4$ super Yang-Mills theory and the $D$-instanton expansion of a certain string theory, namely the topological $B$ model whose target space is the Calabi-Yau supermanifold ${\mathbb{CP}}^{3|4}$.

97 pp

References in corpus (3)

• Multi-Parton Amplitudes in Gauge Theories
• Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory

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• Quantum Symmetries and Marginal Deformations
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• Ten-Dimensional Super-Twistors and Super-Yang-Mills
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• Hidden Simplicity of Gauge Theory Amplitudes
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• N=4 SYM NMHV Loop Amplitude in Superspace
• Einstein Supergravity and New Twistor String Theories
• Towards the higher point holographic momentum space amplitudes
• Determination of Boundary Contributions in Recursion Relation
• Bosonic sectorized strings and the $(DF{)}^2$ theory
• The Lauricella Functions and Exact String Scattering Amplitudes
• On Chiral Splitting and the Ambitwistor String
• Constructing on-shell operator basis for all masses and spins
• On the refined counting of graphs on surfaces
• Complex Factorisation and Recursion for One-Loop Amplitudes
• String theory in target space
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• Three particle superstring amplitudes with massive legs
• Effective action of dressed mean fields for N = 4 super-Yang-Mills theory
• A manifestly MHV Lagrangian for N=4 Yang-Mills
• Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian
• Scattering of conformal higher spin fields
• Nonrelativistic counterparts of twistors and the realizations of Galilean conformal algebra
• Uniqueness from locality and BCFW shifts
• Positroid Stratification of Orthogonal Grassmannian and ABJM Amplitudes
• A Twistorial Description of the IKKT-Matrix Model
• Constructing Generic Effective Field Theory for All Masses and Spins
• Multi-soft theorems in Gauge Theory from MHV Diagrams
• Yang-Mills theories and quadratic forms
• All-order celestial OPE from on-shell recursion
• Demystifying the twistor construction of composite operators in N=4 super-Yang-Mills theory
• A Link Representation for Gravity Amplitudes
• Twistorial versus space--time formulations: unification of various string models
• A Chiral Perturbation Expansion for Gravity
• A Scattering Amplitude for Massive Particles in AdS
• From Spinor Geometry to Complex General Relativity
• Conformal anomaly of super Wilson loop
• Massive Quark-Gluon Scattering Amplitudes at Tree Level
• A Deformation of Twistor Space and a Chiral Mass Term in N=4 Super Yang-Mills Theory
• (Super)twistors and (super)strings
• Hidden Conformal Symmetry in Tree-Level Graviton Scattering
• On gauge/string correspondence and mirror symmetry
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• Matrix Models, Complex Geometry and Integrable Systems. I
• Flux Vacua and Supermanifolds
• Anomalous Dimension of a General Effective Gauge Theory I: Bosonic Sector
• A spinorial double copy for $\mathcal{N}=0$ supergravity
• Supersymmetric S-matrices from the worldsheet in 10 and 11d
• Comments on MHV Tree Amplitudes for Conformal Supergravitons from Topological B-Model
• Sigma Models with N=8 Supersymmetries in 2+1 and 1+1 Dimensions
• One-loop diagrams with quadratic propagators from the worldsheet
• One-Dimensional Super Calabi-Yau Manifolds and their Mirrors
• Twistor Coverings and Feynman Diagrams
• The New Formulation of Higgs Effective Field Theory
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Integrability and unitarity
• Holographic Two-Point Functions in Conformal Gravity
• The Kerr theorem and multiparticle Kerr-Schild solutions
• Cosmohedra
• Twistor Theory and Differential Equations
• Supertwistor formulation for higher dimensional superstrings
• Tree-level amplitudes and dual superconformal symmetry
• An analytic superfield formalism for tree superamplitudes in D=10 and D=11
• CFT4 as SO(4,2)-invariant TFT2
• Ricci-flat supertwistor spaces
• Color structures and permutations
• Twistor-inspired construction of massive quark amplitudes
• On tree amplitudes of supersymmetric Einstein-Yang-Mills theory
• Ambitwistors, oscillators and massless fields on $Ad{S}_5$
• Minitwistors and 3d Yang-Mills-Higgs theory
• Hidden Beauty in Multiloop Amplitudes
• Spinor description of $D=5$ massless low-spin gauge fields
• A String Deformation of the Parke-Taylor Factor
• Minimal models of field theories: SDYM and SDGR
• Multi-Soft gluon limits and extended current algebras at null-infinity
• General Split Helicity Gluon Tree Amplitudes in Open Twistor String Theory
• The $\mathsf{C}{\mathsf{P}}^{\mathsf{n}-1}$-model with fermions: a new look
• A differential operator for integrating one-loop scattering equations
• Manifest SO(N) invariance and S-matrices of three-dimensional N=2,4,8 SYM
• (Non)-supersymmetric Marginal Deformations from Twistor String Theory
• On the Classification of Residues of the Grassmannian
• On-shell recursion relations for gravity
• On-Shell Unitarity Bootstrap for QCD Amplitudes
• Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD
• The n-point MHV one-loop Amplitude in N=4 Supergravity
• On topological F-theory
• Higher point MHV amplitudes in N=4 Supersymmetric Yang-Mills Theory
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
• An interpretation of multigraviton amplitudes
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• Wilson lines in the MHV action
• Chiral Splitting and $\mathcal{N}=4$ Einstein--Yang--Mills Tree Amplitudes in 4d
• New Twistor String Theories revisited
• Recursion relations, Helicity Amplitudes and Dimensional Regularization
• Super Calabi-Yau's and Special Lagrangians
• Scattering amplitudes at strong coupling for 4K gluons
• Production of non-Abelian tensor gauge bosons. Tree amplitudes in generalized Yang-Mills theory and BCFW recursion relation
• Note on Permutation Sum of Color-ordered Gluon Amplitudes
• CSW rules for massive matter legs and glue loops
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• On Singleton Composites in Non-compact WZW Models
• Conformal invariance of tensor bosons tree amplitudes
• Scattering Equations and a new Factorization for Amplitudes I: Gauge Theories
• Two-Loop Gravity amplitudes from four dimensional Unitarity
• Supertwistor description of ambitwistor strings
• The MHV Lagrangian for a spontaneously broken gauge theory
• Twistor fishnets
• A Monte Carlo Approach to the 4D Scattering Equations
• Complex Structure of the Four-Dimensional Kerr Geometry: Stringy System, Kerr Theorem, and Calabi-Yau Twofold
• Supersymmetric Massive Gravity
• Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory
• Yangian in the Twistor String
• Gravitation and quadratic forms
• General relativity as a biconformal gauge theory
• Constraining the weights of Stokes Polytopes using BCFW recursions for Phi^4
• Supersymmetric Lorentz invariant deformations of superspaces
• ABJM Amplitudes in U-gauge and a Soft Theorem
• Space-time CFTs from the Riemann sphere
• One-loop N = 4 super Yang-Mills scattering amplitudes in d dimensions, relation to open strings and polygonal Wilson loops
• Supersymmetric Yang-Mills Theory as Higher Chern-Simons Theory
• Multitwistor mechanics of massless superparticle on $Ad{S}_5\times S^5$ superbackground
• $\Delta$-Algebra and Scattering Amplitudes
• Scattering of charged tensor bosons in gauge and superstring theories
• Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes
• Recursion and worldsheet formulae for 6d superamplitudes
• N=2 Superconformal Symmetry in Super Coset Models
• A Note on Dual MHV Diagrams in N=4 SYM
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
• Recursion relations for the general tree-level amplitudes in QCD with massive dirac fields
• Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM
• Not so Classical Mechanics - Unexpected Symmetries of Classical Motion
• Ambitwistor Strings in Six and Five Dimensions
• Supertwistors, massive superparticles and k-symmetry
• Stringlike structures in the real and complex Kerr-Schild geometry
• Selection rules for helicity amplitudes in massive gauge theories
• Generalized Color Orderings: CEGM Integrands and Decoupling Identities
• One-loop derivation of the Wilson polygon - MHV amplitude duality
• Topological conformal field theories and gauge theories
• New Worldsheet Formulae for Conformal Supergravity Amplitudes
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• The Relativistic Spherical Top as a Massive Twistor
• D3-Brane Loop Amplitudes from M5-Brane Tree Amplitudes
• Holonomies of gauge fields in twistor space 2: Hecke algebra, diffeomorphism, and graviton amplitudes
• On divergences in non-minimal N=4 conformal supergravity
• Recursive equations for arbitrary scattering processes
• Amplitudes from anomalous superconformal symmetry
• Superconformal Symmetry in Linear Sigma Model on Supermanifolds
• Conformal higher-spin symmetries in twistor string theory
• Constrained Supermanifolds for AdS M-Theory Backgrounds
• General tree-level amplitudes by factorization limits
• Connection between non-Abelian tensor gauge fields and open strings
• $\alpha$-Symmetries, Coloured Dimensions and Gauge-String Correspondence
• One-loop integrand from generalised scattering equations
• Applications of Subleading-color Amplitudes in N=4 SYM Theory
• Superspace Parafermions
• On All-loop Integrands of Scattering Amplitudes in Planar N=4 SYM
• Supersymmetric Yang-Mills and Supergravity Amplitudes at One Loop
• Higher Gauge Theory
• Infinite Dimensional Symmetries of Self-Dual Yang-Mills
• Exploring straight infinite Wilson lines in the Self Dual and the MHV Lagrangians
• CHY formulae in 4d
• Fluctuating Twistor-Beam Solutions and Holographic Pre-Quantum Kerr-Schild Geometry
• Holonomies of gauge fields in twistor space 3: gravity as a square of N=4 theory
• The $\mathcal{N}=4$ Supergravity NMHV six-point one-loop amplitude
• Marginal Deformations of Tree-Level N=4 SYM from Twistor String Theory
• On the Mini-Superambitwistor Space and N=8 Super Yang-Mills Theory
• Recursive Relations For Processes With n Photons Of Noncommutative QED
• Perturbation theory in (2,2) signature
• Manifest superconformal covariance in six-dimensional (2,0) theory
• Summary of Lepton Photon 2011
• Learning the Simplicity of Scattering Amplitudes
• Yangian and SUSY symmetry of High Spin Parton Splitting Amplitudes in Generalised Yang-Mills Theory
• Twistor Strings with Flavour
• Helicity Amplitudes for massive gravitinos in N=1 Supergravity
• Edge states and conformal boundary conditions in super spin chains and super sigma models
• Aligned electromagnetic excitations of a black hole and their impact on its quantum horizon
• Noncommutative mechanics, Landau levels, twistors and Yang-Mills amplitudes
• Unification of twistors and Ramond vectors
• Amplitudes for Astrophysicists: Known Knowns
• Dual conformal constraints and infrared equations from global residue theorems in N=4 SYM theory
• GL(1) Charged States in Twistor String Theory
• Dark side of Weyl gravity
• Double Soft Theorem for Generalised Biadjoint Scalar Amplitudes
• Noncommutative Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• CSW-like Expansion for Einstein Gravity
• On the oscillator realization of conformal U(2,2) quantum particles and their particle-hole coherent states
• Two-dimensional twistor manifolds and Teukolsky operators
• Massive Color-Kinematics Duality and Double-Copy for Kaluza-Klein Scattering Amplitudes
• Mapping SYK to the Sky
• Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast }$ Theory
• Precision Calculations for Future Colliders
• Recursive Approach to One-loop QCD Matrix Elements
• The last of the seven-parton tree amplitudes
• Twistor-Beam Excitations of Black-Holes and Prequantum Kerr-Schild Geometry
• Moduli Space of Paired Punctures, Cyclohedra and Particle Pairs on a Circle
• Klein and Conformal Superspaces, Split Algebras and Spinor Orbits
• Pushforwards via Scattering Equations with Applications to Positive Geometries
• Yangian Superalgebras in Conformal Field Theory
• Hard QCD at hadron colliders
• Multigluon tree amplitudes with a pair of massive fermions
• Spinor formalism for massive fields with half-integral spin
• Two-twistor Description of Membrane
• Proton structure and tensor gluons
• Field Theory Equivalences as Spans of $L_{\infty }$-algebras
• (Pre-)Hilbert spaces in twistor quantization
• Perturbative Gravity and Twistor Space
• Gauge symmetries of strings in supertwistor space
• The String BCJ Relations Revisited and Extended Recurrence relations of Nonrelativistic String Scattering Amplitudes
• Topological Sigma Models On Supermanifolds
• A note on NMHV form factors from the Graßmannian and the twistor string
• Curvature properties of pseudo-sphere bundles over paraquaternionic manifolds
• Green-Schwarz and Pure Spinor Formulations of Chiral Strings
• Pure spinor formulation of the superstring and its applications
• What we don't know about time
• Solitons in Open N=2 String Theory
• Form factors from string amplitudes
• Amplitudes and partial wave unitarity bounds
• Oscillator approach to quantization of $Ad{S}_5\times S^5$ superparticle in twistor formulation
• Generating MHV super-vertices in light-cone gauge
• Interaction of Non-Abelian Tensor Gauge Fields
• An Introduction to the Massive Helicity Formalism with applications to the Electroweak SM
• Canonical description of D=10 superstring formulated in supertwistor space
• Rational Terms in Theories with Matter
• BCFW construction of the Veneziano Amplitude
• Flavour from partially resolved singularities
• Exploiting Twistor Techniques for One-loop QCD Amplitudes
• Complex Kerr Geometry, Twistors and the Dirac Electron
• Ambitwistor strings and reggeon amplitudes in N=4 SYM
• Non-anticommutative solitons
• Amplitudes With Different Helicity Configurations Of Noncommutative QED
• A Twistor Space Action for Yang-Mills Theory
• S-matrix equivalence restored
• Minimally helicity violating, maximally simple scalar amplitudes in N=4 SYM
• Purely twistorial string with canonical twistor field quantization
• Scattering of Noncommutative Waves and Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• Symmetries of the Self-Dual Sector of N=4 Super Yang-Mills on the Light Cone
• Conformal relativity with hypercomplex variables
• Gauge theory one-loop amplitudes and the BCFW recursion relations
• N=2 Conformal Supergravity from Twistor-String Theory
• Analytic structure of one-loop coefficients
• Higher Spin Holography and AdS String Sigma-Model
• Massless spinning particle and null-string on $Ad{S}_d$: projective-space approach
• Twistors, Harmonics and Holomorphic Chern-Simons
• Quantum Klein Space and Superspace
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• A note on multi-trace EYM amplitudes in four dimensions
• Scattering amplitudes as multi-particle higher-spin charges in the correspondence space
• One-Loop Amplitudes in Supersymmetric QCD from MHV Vertices
• Polarization spin-tensors in two-spinor formalism and Behrends-Fronsdal spin projection operator for $D$-dimensional case
• Tensor gluons and proton structure
• Tree-level Split Helicity Amplitudes in Ambitwistor Space
• QCD at hadron colliders
• Characterizing the solutions to scattering equations that support tree-level ${\text{N}}^k\text{MHV}$ gauge/gravity amplitudes
• Recursive relations for a quiver gauge theory
• From Twistor-Particle Models to Massive Amplitudes
• Scattering Amplitudes for Monopoles: Pairwise Little Group and Pairwise Helicity
• QCD Review
• Gluon Scattering Amplitudes in Finite Temperature Gauge/Gravity Dualities
• String theory in twistor space and minimal tension holography
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory
• Twistor string as tensionless superstring
• Ward Identity implied recursion relations in Yang-Mills theory
• Supermultiplet of $\beta -$deformations from twistors
• New Discrete States in Two-Dimensional Supergravity
• Unitarity Cuts: NLO Six-Gluon Amplitudes in QCD
• Positivity and partial wave unitarity bounds on ALP theories via amplitude methods
• Strong gauging or decoupling ghost matter
• Random lattice superstrings
• Running anti-de Sitter radius from QCD-like strings
• Born amplitudes in QCD from scalar diagrams
• Cachazo-Svrcek-Witten Rules for Tree-Level Gluonic Amplitudes Revisited
• Recursive structures in string field theory
• Analytic Scattering Amplitudes for QCD
• Explicit Non-Abelian Gerbes with Connections
• Quantum field theory in flat spacetime with multiple time directions
• General expressions for extra-dimensional tree amplitudes and all-plus 1-loop integrands in Q-cut representaion
• Building Momentum Kernel from Shapovalov Form
• A Celestial Description of Planar Super-Yang-Mills Theory
• Gravitational Scattering in the High-Energy Limit
• Cross Section Evaluation by Spinor Integration I: The massless case in 4D
• Parity Symmetry and Soft Limit for the Cachazo-Geyer Gravity Amplitude
• Helicity Amplitudes for production of massive gravitino/goldstino
• Yangian symmetry applied to Quantum chromodynamics
• Theoretical Developments in SUSY
• 6D dual superconformal algebra
• M5-Brane Amplitudes
• Cosmology in the De Donder-Weyl Formulation of Einstein-Cartan Gravity
• The One-Loop QCD $\beta$-Function as an Index
• Adjusting Higher Chern-Simons Theory
• Delta functions on twistor space and their sign factors
• Einstein metrics on homogeneous superspaces
• Massive conformal particles with non-Abelian charges from free U(2N,2N)-twistor dynamics: quantization and coherent states
• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$
• Ambitwistor Yang-Mills Theory Revisited
• A simpler prescription for MHV graviton tree amplitudes in superstring theory
• Anomalous Ward identities for on-shell amplitudes at the conformal fixed point
• The cosmology of a fundamental scalar
• Leading singularities in higher-derivative Yang-Mills theory and quadratic gravity
• Fourier transform from momentum space to twistor space
• Super Picard-Fuchs Equation and Monodromies for Supermanifolds
• Cross Section Evaluation by Spinor Integration II: The massive case in 4D
• Adding flavour to twistor strings
• Massless Chiral Supermultiplets of Higher Spins and the $\theta$-Twistor
• Integrable models from 4d holomorphic BF theory
• (0,2) Gauged Linear Sigma Model on Supermanifold