A Worldsheet Theory for Supergravity

Abstract

We present a worldsheet theory that describes maps into a curved target space equipped with a B-field and dilaton. The conditions for the theory to be consistent at the quantum level can be computed exactly, and are that the target space fields obey the nonlinear d=10 supergravity equations of motion, with no higher curvature terms. The path integral is constrained to obey a generalization of the scattering equations to curved space. Remarkably, the supergravity field equations emerge as quantum corrections to these curved space scattering equations.

17 pages, no figures. v2: references added, published version

References in corpus (16)

• Scattering of Massless Particles in Arbitrary Dimension
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• Ambitwistor strings and the scattering equations
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• Ambitwistor strings and the scattering equations at one loop
• Doubled α'-Geometry
• Ambitwistor strings in 4-dimensions
• Chiral de Rham complex
• Infinite Tension Limit of the Pure Spinor Superstring
• Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
• Parity Invariance For Strings In Twistor Space
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• Ambitwistor strings at null infinity and subleading soft limits
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Cited by in corpus (43)

• The Kerr-Schild double copy in curved spacetime
• Celestial amplitudes and conformal soft theorems
• One-loop amplitudes on the Riemann sphere
• Scattering on plane waves and the double copy
• On the null origin of the ambitwistor string
• Double copy structure of CFT correlators
• One-loop Scattering Equations and Amplitudes from Forward Limit
• Gluons and gravitons at one loop from ambitwistor strings
• CHY representations for gauge theory and gravity amplitudes with up to three massive particles
• Twistor theory at fifty: from contour integrals to twistor 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
• MHV scattering of gluons and gravitons in chiral strong fields
• Graviton scattering in self-dual radiative space-times
• Einstein gravity from the $\mathbb{N}=4$ spinning particle
• A String Theory Which Isn't About Strings
• Amplitudes on plane waves from ambitwistor strings
• Gravity with a cosmological constant from rational curves
• A Worldline Theory for Supergravity
• The complex null string, Galilean conformal algebra and scattering equations
• Background constraints in the infinite tension limit of the heterotic string
• Notes on the ambitwistor pure spinor string
• Ambitwistor string vertex operators on curved backgrounds
• Windings of twisted strings
• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• Yang-Mills theory from the worldsheet
• A Gluing Operator for the Ambitwistor String
• A Superstring Field Theory for Supergravity
• An analytic superfield formalism for tree superamplitudes in D=10 and D=11
• A toy model for background independent string field theory
• Space-time CFTs from the Riemann sphere
• A superfield realization of the integrated vertex operator in an $Ad{S}_5\times S^5$ background
• On-shell type II supergravity from the ambitwistor pure spinor string
• On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
• Ambitwistor String Theory in the Operator Formalism
• Ambitwistor superstring in the Green-Schwarz formulation
• Spin fields for the spinning particle
• Massive strings from a haunted field theory
• General relativity as a two-dimensional CFT
• Ambitwistor string amplitudes in light-like linear dilaton background
• On an alternative quantization of R-NS strings