Heterotic and bosonic string amplitudes via field theory

Abstract

Previous work has shown that massless tree amplitudes of the type I and IIA/B superstrings can be dramatically simplified by expressing them as double copies between field-theory amplitudes and scalar disk/sphere integrals, the latter containing all the ${\alpha }^{\prime }$-corrections. In this work, we pinpoint similar double-copy constructions for the heterotic and bosonic string theories using an ${\alpha }^{\prime }$-dependent field theory and the same disk/sphere integrals. Surprisingly, this field theory, built out of dimension-six operators such as $(D_{\mu }{F}^{\mu \nu }{)}^2$, has previously appeared in the double-copy construction of conformal supergravity. We elaborate on the ${\alpha }^{\prime }\to \infty$ limit in this picture and derive new amplitude relations for various gauge-gravity theories from those of the heterotic string.

arXiv comment38+5 pages

References in corpus (80)

• New Relations for Gauge-Theory Amplitudes
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Evidence for Heterotic - Type I String Duality
• Super-Poincare Covariant Quantization of the Superstring
• Scattering of Massless Particles in Arbitrary Dimension
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
• Minimal Basis for Gauge Theory Amplitudes
• Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
• Scattering Equations and KLT Orthogonality
• Ambitwistor strings and the scattering equations
• The Momentum Kernel of Gauge and Gravity Theories
• On the Tree-Level S-Matrix of Yang-Mills Theory
• Explicit BCJ Numerators from Pure Spinors
• Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
• Polylogarithms, Multiple Zeta Values and Superstring Amplitudes
• Conformal Supergravity in Twistor-String Theory
• Open & Closed vs. Pure Open String Disk Amplitudes
• Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations
• Loop Integrands for Scattering Amplitudes from the Riemann Sphere
• Motivic Multiple Zeta Values and Superstring Amplitudes
• Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
• The Ultraviolet Properties of N=4 Supergravity at Four Loops
• Pure Gravities via Color-Kinematics Duality for Fundamental Matter
• Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
• One-loop amplitudes on the Riemann sphere
• Closed String Amplitudes as Single-Valued Open String Amplitudes
• Extensions of Theories from Soft Limits
• Combinatorics and Topology of Kawai-Lewellen-Tye Relations
• One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
• Infinite Tension Limit of the Pure Spinor Superstring
• Symmetry and Action for Flavor-Kinematics Duality
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• On the null origin of the ambitwistor string
• Closed Superstring Amplitudes, Single-Valued Multiple Zeta Values and Deligne Associator
• Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
• Explicit Formulae for Yang-Mills-Einstein Amplitudes from the Double Copy
• Gravity Amplitudes as Generalized Double Copies
• Multi-Gluon Scattering in Open Superstring Theory
• Proof of Gravity and Yang-Mills Amplitude Relations
• Amplitude Relations in Non-linear Sigma Model
• String-inspired BCJ numerators for one-loop MHV amplitudes
• Two-Loop Scattering Amplitudes from the Riemann Sphere
• New BCJ representations for one-loop amplitudes in gauge theories and gravity
• New Relations for Einstein-Yang-Mills Amplitudes
• All order alpha'-expansion of superstring trees from the Drinfeld associator
• Semi-abelian Z-theory: NLSM+phi^3 from the open string
• A recursive method for SYM n-point tree amplitudes
• Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
• New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level
• Einstein-Yang-Mills from pure Yang-Mills amplitudes
• On tree-level higher order gravitational couplings in superstring theory
• N-Point Tree-Level Scattering Amplitude in the New Berkovits' String
• Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame
• Monodromy Relations in Higher-Loop String Amplitudes
• Six Gluon Open Superstring Disk Amplitude, Multiple Hypergeometric Series and Euler-Zagier Sums
• Amplitude relations in heterotic string theory and Einstein-Yang-Mills
• Higher-loop amplitude monodromy relations in string and gauge theory
• Universality in string interactions
• Complete construction of magical, symmetric and homogeneous N=2 supergravities as double copies of gauge theories
• Factorization of Chiral String Amplitudes
• Expansion of All Multitrace Tree Level EYM Amplitudes
• Current Algebra on the Torus
• Gauged supergravities and spontaneous SUSY breaking from the double copy
• On the field theory expansion of superstring five point amplitudes
• Double-Copy Structure of One-Loop Open-String Amplitudes
• Evaluation of the CHY Gauge Amplitude
• Ambitwistor formulations of $R^2$ gravity and $(DF{)}^2$ gauge theories
• New Formulas for Amplitudes from Higher-Dimensional Operators
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• Amplitudes for left-handed strings
• Superstring amplitudes and the associator
• Conformal Gravity from Gauge Theory
• From maximal to minimal supersymmetry in string loop amplitudes
• A String Theory Which Isn't About Strings
• One-loop monodromy relations on single cuts
• String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
• Differential Equations, Associators, and Recurrences for Amplitudes

Cited by in corpus (50)

• Double copy for massive quantum particles with spin
• Aspects of Scattering Amplitudes and Moduli Space Localization
• Double copy structure of CFT correlators
• Double Copy from Homotopy Algebras
• On the kinematic algebra for BCJ numerators beyond the MHV sector
• Kinematic Jacobi Identity is a Residue Theorem: Geometry of Color-Kinematics Duality for Gauge and Gravity Amplitudes
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• Two-Loop Scattering Amplitudes from Ambitwistor Strings: from Genus Two to the Nodal Riemann Sphere
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Carving out the Space of Open-String S-matrix
• On Effective Field Theories with Celestial Duals
• Simple encoding of higher derivative gauge and gravity counterterms
• Tree-level amplitudes from the pure spinor superstring
• New heavenly double copies
• Closed strings as single-valued open strings: A genus-zero derivation
• String amplitudes from field-theory amplitudes and vice versa
• Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
• Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes
• One-loop open-string integrals from differential equations: all-order alpha'-expansions at n points
• Generating series of all modular graph forms from iterated Eisenstein integrals
• Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings
• Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality
• Superstring loop amplitudes from the field theory limit
• Gauge $\times$ Gauge on Spheres
• String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
• New non-perturbative de Sitter vacua in ${\alpha }^{\prime }$-complete cosmology
• Scattering Massive String Resonances through Field-Theory Methods
• All-order alpha'-expansion of one-loop open-string integrals
• One-loop Amplitudes for N=2 Homogeneous Supergravities
• On the New Factorizations of Yang-Mills Amplitudes
• Beyond the standard model with six-dimensional spinors
• Double-copy towards supergravity inflation with $\alpha$-attractor models
• The Color-Dual Fates of $F^3$, $R^3$, and $\mathcal{N}=4$ Supergravity
• One-loop amplitudes in Einstein-Yang-Mills from forward limits
• Bosonic sectorized strings and the $(DF{)}^2$ theory
• Electromagnetic Duality and D3-Brane Scattering Amplitudes Beyond Leading Order
• Two dialects for KZB equations: generating one-loop open-string integrals
• Recursion and worldsheet formulae for 6d superamplitudes
• Basis decompositions of genus-one string integrals
• Cosmological Correlators, In-In Formalism and Double Copy
• Color-Kinematic Numerators for Fermion Compton Amplitudes
• Non-Abelian gauged supergravities as double copies
• Advanced tools for basis decompositions of genus-one string integrals
• UV consistency conditions for CHY integrands
• Massive strings from a haunted field theory
• The double copy effective action: a quantum (chromodynamics) approach to space-time
• Superstring amplitudes meet surfaceology
• On-shell representation and further instances of the 2-split behavior of amplitudes
• One-loop matrix elements of effective superstring interactions: ${\alpha }^{\prime }$-expanding loop integrands
• Entire Four-Graviton EFT from the Duality Between Color and Kinematics