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Ambitwistor strings in 4-dimensions

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arxiv 1404.6219 v2 pith:Z7BQRNBI submitted 2014-04-24 hep-th gr-qc

Yvonne Geyer , Arthur E. Lipstein , Lionel J. Mason This is my paper · ORCID
classification hep-thgr-qc
keywords ambitwistorspaceformulaetheoriestwistoramplitudesdimensionsskinner
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We develop ambitwistor string theories for 4 dimensions to obtain new formulae for tree-level gauge and gravity amplitudes with arbitrary amounts of supersymmetry. Ambitwistor space is the space of complex null geodesics in complexified Minkowski space, and in contrast to earlier ambitwistor strings, we use twistors rather than vectors to represent this space. Although superficially similar to the original twistor string theories of Witten, Berkovits and Skinner, these theories differ in the assignment of worldsheet spins of the fields, rely on both twistor and dual twistor representatives for the vertex operators, and use the ambitwistor procedure for calculating correlation functions. Our models are much more flexible, no longer requiring maximal supersymmetry, and the resulting formulae for amplitudes are simpler, having substantially reduced moduli. These are supported on the solutions to the scattering equations refined according to MHV degree and can be checked by comparison with corresponding formulae of Witten and of Cachazo and Skinner.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality

    hep-th 2019-08 conditional novelty 8.0 of 10

    Two-loop Yang-Mills and gravity integrands are constructed from tree-level trivalent diagrams via a double-forward limit, with multiplicity factors that make the loop-level colour-kinematics duality manifest.

  2. 4d CFT Correlators from Ambitwistors

    hep-th 2026-06 conditional novelty 7.0 of 10

    Conserved spinning two- and three-point correlators in 4d CFTs are obtained from holomorphic contour integrals on ambitwistor space, with spin, parity, and even a conformally coupled scalar treated uniformly.

  3. On the Double Copy for Spinning Matter

    hep-th 2019-08 conditional novelty 7.0 of 10

    Massive spinning-particle gravitational amplitudes are obtained by dimensional reduction of massless double copy amplitudes, fixing g=2 and matter couplings, and the Goldberger-Ridgway classical double copy is identif...

  4. On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring

    hep-th 2019-08 conditional novelty 6.0 of 10

    The polarized scattering equation for 11D supergravity is derived from the supertwistor form of the ambitwistor superstring with SO(16) covariance, and a fermionic superpartner equation on superamplitudes is found.

  5. Supertwistor description of ambitwistor strings

    hep-th 2019-08 conditional novelty 6.0 of 10

    A supertwistor-based 10D ambitwistor string is built and shown, in light-cone gauge, to reproduce the tree amplitudes of the RNS ambitwistor string.

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