R^4, purified

Abstract

We derive, using the pure-spinor formalism, the complete -- including the fermions -- four-point effective action of both type II superstrings to all orders in ${\alpha }^{\prime }$, at tree level in string loops. We find that, in the quartic-field approximation, the supergravity Lagrangian can be thought of as the tensor product, in a suitable sense, of two copies of the superYang-Mills Lagrangian in ten dimensions. The NS-NS three-form enters the supergravity Lagrangian through a modified connection with torsion. As a byproduct, we derive the complete, i.e. to all orders in the $\theta$-expansion, closed-string vertex operator in a flat target-space background.

32 pages. v2: minor corrections in the text; references added, including references to early pioneering work on pure spinors

References in corpus (42)

• Super-Poincare Covariant Quantization of the Superstring
• On Flux Quantization In M-Theory And The Effective Action
• Eleven Dimensional Origin of String/String Duality: A One Loop Test
• Effects of D-instantons
• Pure Spinor Formalism as an N=2 Topological String
• Perturbative Quantum Gravity and its Relation to Gauge Theory
• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
• Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace
• Consistency of Super-Poincare Covariant Superstring Tree Amplitudes
• Equivalence of Two-Loop Superstring Amplitudes in the Pure Spinor and RNS Formalisms
• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• Spinorial cohomology and maximally supersymmetric theories
• The structure of maximally supersymmetric Yang-Mills theory: constraining higher-order corrections
• Covariant One-Loop Amplitudes in D=11
• Manifestly supersymmetric M-theory
• GAMMA: A Mathematica package for performing gamma-matrix algebra and Fierz transformations in arbitrary dimensions
• On the exact quartic effective action for the type IIB superstring
• Relating the Green-Schwarz and Pure Spinor Formalisms for the Superstring
• Relating the RNS and Pure Spinor Formalisms for the Superstring
• Lorentz Invariance of the Pure Spinor BRST Cohomology for the Superstring
• On a supersymmetric completion of the R^4 term in IIB supergravity
• Supersymmetric Corrections to Eleven-Dimensional Supergravity
• Origin of Pure Spinor Superstring
• Chiral splitting and world-sheet gravitinos in higher-derivative string amplitudes
• Vertex Operators for Closed Superstrings
• The Covariant Quantum Superstring and Superparticle from their Classical Actions
• On higher-order corrections in M theory
• The Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry
• Y-formalism in Pure Spinor Quantization of Superstrings
• Higher Derivative Corrections to Eleven Dimensional Supergravity via Local Supersymmetry
• Four-Point One-Loop Amplitude Computation in the Pure Spinor Formalism
• Domain Walls of D=8 Gauged Supergravities and their D=11 Origin
• Curved 11D Supergeometry
• D-Instanton Corrections as (p,q)-String Effects and Non-Renormalization Theorems
• The Ramond-Ramond sector of string theory beyond leading order
• Superfield integrals in high dimensions
• 4-point effective actions in open and closed superstring theory
• D-branes, Discrete Torsion and the McKay Correspondence
• BFT embedding of the Green-Schwarz superstring and the pure spinor formalism
• 11D supergravity at $\mathcal{O}(l^3)$
• Comments on M Theory Dynamics on G2 Holonomy Manifolds
• Gravitational F-terms of N=1 Supersymmetric Gauge Theories

Cited by in corpus (87)

• Explicit BCJ Numerators from Pure Spinors
• $\mathcal{N}=4$ Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization
• Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
• Universal holographic hydrodynamics at finite coupling
• AdS_6 solutions of type II supergravity
• Higher-derivative couplings in string theory: dualities and the B-field
• Debye screening in strongly coupled N=4 supersymmetric Yang-Mills plasma
• Where is String Theory?
• Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
• The Structure of n-Point One-Loop Open Superstring Amplitudes
• Berends-Giele recursions and the BCJ duality in superspace and components
• Far Beyond the Planar Limit in Strongly-Coupled $\mathcal{N}=4$ SYM
• New BCJ representations for one-loop amplitudes in gauge theories and gravity
• Exploiting N=2 in consistent coset reductions of type IIA
• Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism
• Genus-2 Holographic Correlator on $Ad{S}_5\times S^5$ from Localization
• Non-linear gauge transformations in $D=10$ SYM theory and the BCJ duality
• F-theory at order ${\alpha }^{\prime 3}$
• Higher derivative terms including the Ramond-Ramond five-form
• Simple superamplitudes in higher dimensions
• AdS${}_4$/CFT${}_3$ from Weak to Strong String Coupling
• Simplifying the Tree-level Superstring Massless Five-point Amplitude
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors
• Pure spinor superfields -- an overview
• Pure Spinor Superspace Identities for Massless Four-point Kinematic Factors
• Tree-level amplitudes from the pure spinor superstring
• Shear viscosity of CFT plasma at finite coupling
• Higher derivatives in Type II and M-theory on Calabi-Yau threefolds
• Six Open String Disk Amplitude in Pure Spinor Superspace
• A solution to the non-linear equations of D=10 super Yang-Mills theory
• R^4 Corrections to D1D5p Black Hole Entropy from Entropy Function Formalism
• Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace
• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• PSS: A FORM Program to Evaluate Pure Spinor Superspace Expressions
• Systematics of the ${\alpha }^{\prime }$ Expansion in F-Theory
• The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism
• Enhanced Coset Symmetries and Higher Derivative Corrections
• alpha'-exact entropies for BPS and non-BPS extremal dyonic black holes in heterotic string theory from ten-dimensional supersymmetry
• From maximal to minimal supersymmetry in string loop amplitudes
• Pure spinor superfields and Born-Infeld theory
• Duality Groups, Automorphic Forms and Higher Derivative Corrections
• Self-interacting chiral p-forms in higher dimensions
• Cohomology foundations of one-loop amplitudes in pure spinor superspace
• A note on the quartic effective action of type IIB superstring
• Higher Derivative Supergravities in Diverse Dimensions
• One-loop Superstring Amplitude From Integrals on Pure Spinors Space
• Aspects of higher curvature terms and U-duality
• Operator mixing and three-point functions in N=4 SYM
• The two-loop superstring five-point amplitude and S-duality
• The Euler characteristic correction to the Kaehler potential - revisited
• BRST quantization of the pure spinor superstring
• Higher derivative corrections to near-extremal black holes in type IIB supergravity
• String Theory Corrections to Holographic Black Hole Chemistry
• Quantum Near Horizon Geometry of Black 0-Brane
• Towards 't Hooft parameter corrections to charge transport in strongly-coupled plasma
• AdS${}_8$ Solutions in Type II Supergravity
• Ramond-Ramond corrections to type II supergravity at order ${\alpha }^{\prime 3}$
• Sphere-level Ramond-Ramond couplings in Ramond-Neveu-Schwarz formalism
• Quantum M-wave and Black 0-brane
• One-modulus Calabi-Yau fourfold reductions with higher-derivative terms
• Amplitudes Involving Massive States Using Pure Spinor Formalism
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• BRST Anomaly and Superspace Constraints of the Pure Spinor Heterotic String in a Curved Background
• alpha'-corrections and heterotic black holes
• Fermionic superstring loop amplitudes in the pure spinor formalism
• Theta Expansion of First Massive Vertex Operator in Pure Spinor
• Generalized Riemann curvature corrections to type II supergravity
• Decoupling of unphysical states in the minimal pure spinor formalism I
• Consistent truncation and de Sitter space from gravitational instantons
• The Pure Spinor Formulation of Superstrings
• Decoupling of unphysical states in the minimal pure spinor formalism II
• The action principle and the supersymmetrisation of Chern-Simons terms in eleven-dimensional supergravity
• Type II Small Stringy Black Holes, Probe Branes and Higher Derivative Interactions
• Two Ramond-Ramond corrections to type II supergravity via field-theory amplitude
• Higher Derivative Corrections in Holographic QCD
• Scattering of massive open strings in pure spinor
• On four-derivative terms in IIB Calabi-Yau orientifold reductions
• Closed string disk amplitudes in the pure spinor formalism
• Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance of Pure Spinor Superstring
• Ehlers symmetry at the next derivative order
• Pure spinor computation towards open string three-loop
• Quantum corrections to screening at strong coupling
• Gauge field corrections to 11-dimensional supergravity via dimensional reduction
• On effective field theory of F-theory beyond leading order
• Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles
• Universal Box Operator: $\mathbf{O}(D,D)$-Symmetry and ${\alpha }^{\prime }$-Corrections