Tree-level amplitudes from the pure spinor superstring
From MaRDI portal
Publication:6155503
DOI10.1016/j.physrep.2023.04.001zbMath1530.81099arXiv2210.14241OpenAlexW4378512372MaRDI QIDQ6155503
Oliver Schlotterer, Carlos R. Mafra
Publication date: 5 June 2023
Published in: Physics Reports (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.14241
Quantum computation (81P68) Extrapolation to the limit, deferred corrections (65B05) Spinor and twistor methods applied to problems in quantum theory (81R25) Supersymmetry and quantum mechanics (81Q60) (2)-body potential quantum scattering theory (81U05)
Related Items (15)
Scattering equations, supergravity integrands, and pure spinors ⋮ Divergences in maximal supersymmetric Yang-Mills theories in diverse dimensions ⋮ Decoupling of unphysical states in the minimal pure spinor formalism I ⋮ Simplifying the tree-level superstring massless five-point amplitude ⋮ Covariant representation theory of the Poincaré algebra and some of its extensions ⋮ Scattering three closed strings off a D\(p\)-brane in pure spinor formalism ⋮ Lagrangians manifesting color-kinematics duality in the NMHV sector of Yang-Mills ⋮ Superspace expansion of the 11D linearized superfields in the pure spinor formalism, and the covariant vertex operator ⋮ Anomaly and double copy in quantum self-dual Yang-Mills and gravity ⋮ Towards field theory amplitudes from the cohomology of pure spinor superspace ⋮ Pure spinors in AdS and Lie algebra cohomology ⋮ The overall coefficient of the two-loop superstring amplitude using pure spinors ⋮ Theta expansion of first massive vertex operator in pure spinor ⋮ Multi-loop amplitudes in maximally supersymmetric pure spinor field theory ⋮ On projections to the pure spinor space
Cites Work
- Eigenvalue equation for genus two modular graphs
- Higher genus modular graph functions, string invariants, and their exact asymptotics
- Identities between modular graph forms
- Modular graph functions
- Notes on motivic periods
- Scattering amplitudes in \( \mathcal{N}=2 \) Maxwell-Einstein and Yang-Mills/Einstein supergravity
- Einstein-Yang-Mills scattering amplitudes from scattering equations
- Twistor origin of the superstring
- On the \( \mathcal{N}=4 \), \(d = 4\) pure spinor measure factor
- Local integrals for planar scattering amplitudes
- Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
- Revisiting the S-matrix approach to the open superstring low energy effective Lagrangian
- Pure spinors, twistors, and emergent supersymmetry
- The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case
- The finite gauge transformations in closed string field theory
- Single-valued multiple polylogarithms in one variable
- Dispersion relations in string theory
- Symmetry breaking at enhanced symmetry points
- Local BCJ numerators for ten-dimensional SYM at one loop
- 5 loops in 24/5 dimensions
- \(D = 10\) supersymmetric Yang-Mills theory at \(\alpha^{\prime 4}\)
- Two-loop superstring five-point amplitudes. II: Low energy expansion and S-duality
- Closed string disk amplitudes in the pure spinor formalism
- Loop amplitudes monodromy relations and color-kinematics duality
- Relating the \(b\) ghost and the vertex operators of the pure spinor superstring
- Single-valued integration and double copy
- Higher genus correlators for tensionless \(\mathrm{AdS}_3\) strings
- Coaction and double-copy properties of configuration-space integrals at genus zero
- One-loop matrix elements of effective superstring interactions: \(\alpha^\prime\)-expanding loop integrands
- 10D super-Yang-Mills scattering amplitudes from its pure spinor action
- Two-loop superstring five-point amplitudes. III: Construction via the RNS formulation: even spin structures
- KK-like relations of \(\alpha^\prime\) corrections to disk amplitudes
- Einstein Yang-Mills amplitudes from intersections of twisted forms
- Four lectures on analytic solutions in open string field theory
- String field theory solution for any open string background. II.
- All-order differential equations for one-loop closed-string integrals and modular graph forms
- Bosonic sectorized strings and the \( (DF)^2\) theory
- From positive geometries to a coaction on hypergeometric functions
- One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points
- A noncommutative cycle index and new bases of quasi-symmetric functions and noncommutative symmetric functions
- Generating series of all modular graph forms from iterated Eisenstein integrals
- Two-loop superstring five-point amplitudes. I: Construction via chiral splitting and pure spinors
- Pure spinor superfields and Born-Infeld theory
- Towards the n-point one-loop superstring amplitude. I: Pure spinors and superfield kinematics
- Towards the \(n\)-point one-loop superstring amplitude. II: Worldsheet functions and their duality to kinematics
- Towards the n-point one-loop superstring amplitude. III: One-loop correlators and their double-copy structure
- Algorithmic construction of SYM multiparticle superfields in the BCJ gauge
- Monodromy relations from twisted homology
- Chiral strings, the sectorized description and their integrated vertex operators
- Genus-zero and genus-one string amplitudes and special multiple zeta values
- Modular forms and SL(2, $\mathbb{Z}$)-covariance of type IIB superstring theory
- Exploring transcendentality in superstring amplitudes
- A class of non-holomorphic modular forms. I
- String correlators: recursive expansion, integration-by-parts and scattering equations
- On primary relations at tree-level in string theory and field theory
- Graphical functions and single-valued multiple polylogarithms
- Tropical amplitudes
- Y-formalism and \(b\) ghost in the non-minimal pure spinor formalism of superstrings
- Galois symmetries of fundamental groupoids and noncommutative geometry
- Single-valued multiple zeta values in genus \(1\) superstring amplitudes
- Asymptotics of the \(D^8 \mathcal{R}^4 \) genus-two string invariant
- The worldsheet dual of the symmetric product CFT
- The character of pure spinors
- Complete \(N\)-point superstring disk amplitude I. Pure spinor computation
- Complete \(N\)-point superstring disk amplitude II. Amplitude and hypergeometric function structure
- On the field theory expansion of superstring five point amplitudes
- Closed string amplitudes as single-valued open string amplitudes
- The overall coefficient of the two-loop superstring amplitude using pure spinors
- Monodromy and Jacobi-like relations for color-ordered amplitudes
- Supersymmetry relations and MHV amplitudes in superstring theory
- Scattering equations, supergravity integrands, and pure spinors
- Elliptic multiple zeta values and one-loop superstring amplitudes
- Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM
- On the modular structure of the genus-one type II superstring low energy expansion
- Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace
- Four lectures on closed string field theory
- Two dialects for KZB equations: generating one-loop open-string integrals
- Single-valued integration and superstring amplitudes in genus zero
- The algebraic structure of the KLT relations for gauge and gravity tree amplitudes
- Identities among higher genus modular graph tensors
- Amplitude recursions with an extra marked point
- Single-valued hyperlogarithms, correlation functions and closed string amplitudes
- Type IIB at eight derivatives: insights from superstrings, superfields and superparticles
- Open-string integrals with multiple unintegrated punctures at genus one
- Amplitudes, Hopf algebras and the colour-kinematics duality
- Modular graph forms from equivariant iterated Eisenstein integrals
- Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values
- Polylogarithms, multiple zeta values and superstring amplitudes
- Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
- Twisted cohomology and homology groups associated to the Riemann-Wirtinger integral
- Motivic multiple zeta values and superstring amplitudes
- Scattering amplitudes in open superstring theory
- On the decomposition of motivic multiple zeta values
- Analogues elliptiques des nombres multiz\'etas
- New Higher-Derivative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>R</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math>Theorems for Graviton Scattering
- Amplitude for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-Gluon Superstring Scattering
- Two Notes on Notation
- Differential equations, associators, and recurrences for amplitudes
- Disk scattering of open and closed strings (I)
- Amplitude relations in non-linear sigma model
- Doubled \(\alpha'\)-geometry
- Infinite tension limit of the pure spinor superstring
- Scattering of massless particles: scalars, gluons and gravitons
- Mass renormalization in string theory: general states
- Nilpotency of the \(b\) ghost in the non-minimal pure spinor formalism
- Tree-level amplitudes in the nonlinear sigma model
- Notes on the pure spinor \(b\) ghost
- Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
- New relations for Einstein-Yang-Mills amplitudes
- Simplifying the tree-level superstring massless five-point amplitude
- Zhang-Kawazumi invariants and superstring amplitudes
- Towards field theory amplitudes from the cohomology of pure spinor superspace
- A proof of the explicit minimal-basis expansion of tree amplitudes in gauge field theory
- Mixed Tate motives over \(\mathbb{Z}\)
- Basic concepts of string theory
- Type I supergravity effective action from pure spinor formalism
- Perturbative super-Yang-Mills from the topological \(AdS_{5} \times S^{5}\) sigma model
- BRST quantization of the pure spinor superstring
- Pure spinor superspace identities for massless four-point kinematic factors
- Erratum to: ``Three-loop universal anomalous dimension of the Wilson operators in \(\mathcal N=4\) SUSY Yang-Mills model [Phys. Lett. B 595 (2004) 521]
- Monodromy-like relations for finite loop amplitudes
- Explicit BCJ numerators from pure spinors
- The massless string spectrum on \(\mathrm{AdS}_{3}\times S^{3}\) from the supergroup
- The momentum kernel of gauge and gravity theories
- Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
- The multiple zeta value data mine
- Two-loop superstrings. VI: Nonrenormalization theorems and the 4-point function.
- Six open string disk amplitude in pure spinor superspace
- On D-brane boundary state analysis in pure spinor formalism
- Supersymmetric Born-Infeld from the pure spinor formalism of the open superstring
- Massive superstring vertex operator in \(D = 10\) superspace
- Partition-function representation for the open superstring effective action: cancellation of Möbius infinities and derivative corrections to Born-Infeld Lagrangian
- Elliptic Feynman integrals and pure functions
- From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
- Conformal field theory
- Inverse of the string theory KLT kernel
- Abelian \(Z\)-theory: NLSM amplitudes and \(\alpha\)'-corrections from the open string
- Dirac-Born-Infeld-Volkov-akulov and deformation of supersymmetry
- Superstring amplitudes and the associator
- Multiparticle one-loop amplitudes and S-duality in closed superstring theory
- The closed-string 3-loop amplitude and S-duality
- A decomposition of Solomon's descent algebra
- Lie elements and an algebra associated with shuffles
- Manifest spacetime supersymmetry and the superstring
- The physical states of the hybrid formalism
- Perturbative gauge theory as a string theory in twistor space
- Analytic solution for tachyon condensation in open string field theory
- Two-loop superstrings and \(S\)-duality
- RNS derivation of \(N\)-point disk amplitudes from the revisited S-matrix approach
- Conformal scalar fields and chiral splitting on super Riemann surfaces
- Complete six-gluon disk amplitude in superstring theory
- BRST operator for the first-ilk superparticle.
- Constraints and field equations for ten dimensional super Yang-Mills theory
- Twistor-like transform in ten dimensions
- Gauss-Manin connection of integral of difference products
- Lie coalgebras
- Vertex operator algebras associated to representations of affine and Virasoro algebras
- A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
- Effects of D-instantons
- On non-abelian generalisation of the Born-Infeld action in string theory
- Type IIB superstring action in \(\text{AdS}_5\times S^5\) background
- Covariant quantization of the Green-Schwarz superstring in a Calabi-Yau background
- \(N=4\) topological strings
- Unity of superstring dualities.
- The box graph in superstring theory
- Multi-leg one-loop gravity amplitudes from gauge theory
- Superstring theory on \(\text{AdS}_2\times S^2\) as a coset supermanifold
- On tree form-factors in (supersymmetric) Yang-Mills theory.
- Tachyon condensation on the brane antibrane system
- Vertex operators for \(\text{AdS}_3\) background with Ramond-Ramond flux
- Conformal field theory of AdS background with Ramond-Ramond flux
- Three-graviton amplitude in Berkovits-Vafa-Witten variables
- The superembedding origin of the Berkovits pure spinor covariant quantization of superstrings
- Heterotic and bosonic string amplitudes via field theory
- Perturbiner methods for effective field theories and the double copy
- Integrated massive vertex operator in pure spinor formalism
- New BCJ representations for one-loop amplitudes in gauge theories and gravity
- Factorization of chiral string amplitudes
- Universality in string interactions
- Explicit BCJ numerators of nonlinear simga model
- Einstein-Yang-Mills from pure Yang-Mills amplitudes
- One loop mass renormalization of unstable particles in superstring theory
- Amplitude relations in heterotic string theory and Einstein-Yang-Mills
- String-inspired BCJ numerators for one-loop MHV amplitudes
- Non-linear gauge transformations in \(D=1\) 0 SYM theory and the BCJ duality
- Berends-Giele recursions and the BCJ duality in superspace and components
- One-loop superstring six-point amplitudes and anomalies in pure spinor superspace
- Extensions of theories from soft limits
- Berends-Giele recursion for double-color-ordered amplitudes
- Non-abelian \(Z\)-theory: Berends-Giele recursion for the \(\alpha^{'}\)-expansion of disk integrals
- Monodromy relations in higher-loop string amplitudes
- Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy
- Combinatorics and topology of Kawai-Lewellen-Tye relations
- Semi-abelian Z-theory: NLSM + \({\Phi}^3\) from the open string
- Expansion of all multitrace tree level EYM amplitudes
- Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
- Amplitudes involving massive states using pure spinor formalism
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- The Number Theory of Superstring Amplitudes
- Lyndon Words, Free Algebras and Shuffles
- n-ary algebras: a review with applications
- Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
- Pure spinors as auxiliary fields in the ten-dimensional supersymmetric Yang-Mills theory
- Nonlinear spinor representations
- Classical strings in ten dimensions
- ON THE COMPLEX SELBERG INTEGRAL
- On Spinors in n Dimensions
- On the higher-order generalizations of Poisson structures
- An introduction to the covariant quantization of superstrings
- Momentum analyticity and finiteness of the 1-loop superstring amplitude
- Lie Elements and Knuth Relations
- Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes
- Intersection theory for twisted cohomologies and twisted Riemann’s period relations I
- Dual Lie Elements and a Derivation for the Cofree Coassociative Coalgebra
- String Field Theory
- Towards closed strings as single-valued open strings at genus one
- Feynman Integrals
- Aspects of Scattering Amplitudes and Moduli Space Localization
- Closed strings as single-valued open strings: a genus-zero derivation
- Kontsevich’s integral for the Kauffman polynomial
- CORRELATION FUNCTIONS IN BERKOVITS' PURE SPINOR FORMULATION
- Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator
- R 4 , purified
- SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES
- On the Poincaré-Birkhoff-Witt theorem
- Introduction to Lie Algebras and Representation Theory
- A note on the Drinfeld associator for genus-zero superstring amplitudes in twisted de Rham theory
- The SAGEX review on scattering amplitudes Chapter 2: An invitation to color-kinematics duality and the double copy
- The SAGEX review on scattering amplitudes Chapter 3: Mathematical structures in Feynman integrals
- The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals
- The SAGEX review on scattering amplitudes Chapter 6: Ambitwistor Strings and Amplitudes from the Worldsheet
- Supergravity
- Tachyon condensation in string field theory
- Super-Poincaré covariant quantization of the superstring
- Cohomology in the pure spinor formalism for the superstring
- Consistency of super-Poincaré covariant superstring tree amplitudes
- Holography in superspace
- On the gauge theory/geometry correspondence
- Tachyon condensation in superstring field theory.
- Quantization of the superstring with manifest U(5) super-Poincaré invariance
- Lorentz invariance of the pure spinor BRST cohomology for the superstring
- One-loop \(N\)-point superstring amplitudes with manifest \(d=4\) supersymmetry
- A theta lift representation for the Kawazumi-Zhang and Faltings invariants of genus-two Riemann surfaces
- LieART 2.0 -- a Mathematica application for Lie algebras and representation theory
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