Amplitudes on plane waves from ambitwistor strings

Abstract

In marked contrast to conventional string theory, ambitwistor strings remain solvable worldsheet theories when coupled to curved background fields. We use this fact to consider the quantization of ambitwistor strings on plane wave metric and plane wave gauge field backgrounds. In each case, the worldsheet model is anomaly free as a consequence of the background satisfying the field equations. We derive vertex operators (in both fixed and descended picture numbers) for gravitons and gluons on these backgrounds from the worldsheet CFT, and study the 3-point functions of these vertex operators on the Riemann sphere. These worldsheet correlation functions reproduce the known results for 3-point scattering amplitudes of gravitons and gluons in gravitational and gauge theoretic plane wave backgrounds, respectively.

29 pages, 1 figure. v2: added discussion, published version

References in corpus (48)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Type IIB superstring action in AdS_5 x S^5 background
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• Penrose limits and maximal supersymmetry
• A new maximally supersymmetric background of IIB superstring theory
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
• An integrable deformation of the AdS_5 x S^5 superstring action
• Ambitwistor strings and the scattering equations
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• PP-wave string interactions from perturbative Yang-Mills theory
• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• Ambitwistor strings and the scattering equations at one loop
• Loop Integrands for Scattering Amplitudes from the Riemann Sphere
• Quantum Consistency of the Superstring in AdS_5 x S^5 Background
• Ambitwistor strings in 4-dimensions
• One-loop amplitudes on the Riemann sphere
• Superstring Vertex Operators in an AdS_5 x S^5 Background
• Infinite Tension Limit of the Pure Spinor Superstring
• On the null origin of the ambitwistor string
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• Perturbative gravity at null infinity
• Ambitwistor strings at null infinity and subleading soft limits
• A Worldsheet Theory for Supergravity
• Holographic three-point functions for short operators
• Vertex Operators for AdS3 Background With Ramond Ramond Flux
• Computing Three-Point Functions for Short Operators
• Gravity with a cosmological constant from rational curves
• Twistor/ambitwistor strings and null-superstrings in spacetime of D=4,10 and 11 dimensions
• Three-point correlators from string amplitudes: Mixing and Regge spins
• The complex null string, Galilean conformal algebra and scattering equations
• Background constraints in the infinite tension limit of the heterotic string
• Harmonic Superspace from the $Ad{S}_5\times S^5$ Pure Spinor Formalism
• Notes on the ambitwistor pure spinor string
• A construction of integrated vertex operator in the pure spinor sigma-model in AdS5xS5
• A Superstring Field Theory for Supergravity
• Open-closed superstring amplitudes using vertex operators in ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Space-time CFTs from the Riemann sphere
• On-shell type II supergravity from the ambitwistor pure spinor string
• Ambitwistor String Theory in the Operator Formalism

Cited by in corpus (22)

• Advances in QED with intense background fields
• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• The Kerr-Schild double copy in curved spacetime
• Double copy structure of CFT correlators
• Double Copy for Celestial Amplitudes
• Gluons and gravitons at one loop from ambitwistor strings
• Two-Loop Scattering Amplitudes from Ambitwistor Strings: from Genus Two to the Nodal Riemann Sphere
• Plane wave backgrounds and colour-kinematics duality
• Celestial double copy from the worldsheet
• Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions
• Alternative formulations of the twistor double copy
• Graviton scattering in self-dual radiative space-times
• Gluon scattering on self-dual radiative gauge fields
• Ambitwistor string vertex operators on curved backgrounds
• Windings of twisted strings
• Yang-Mills theory from the worldsheet
• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• The analytic structure of amplitudes on backgrounds from gauge invariance and the infra-red
• One-loop multicollinear limits from 2-point amplitudes on self-dual backgrounds
• Gravitational wave memory and its effects on particles and fields
• Resonant string behavior in a Gravitational Wave burst
• Ambitwistor string amplitudes in light-like linear dilaton background