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Gravity on-shell diagrams

Journal of High Energy Physics volume 2016, Article number: 136 (2016) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We study on-shell diagrams for gravity theories with any number of super-symmetries and find a compact Grassmannian formula in terms of edge variables of the graphs. Unlike in gauge theory where the analogous form involves only d log-factors, in gravity there is a non-trivial numerator as well as higher degree poles in the edge variables. Based on the structure of the Grassmannian formula for \( \mathcal{N}=8 \) supergravity we conjecture that gravity loop amplitudes also possess similar properties. In particular, we find that there are only logarithmic singularities on cuts with finite loop momentum and that poles at infinity are present, in complete agreement with the conjecture presented in [1].

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  1. Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA, 91125, U.S.A.

    Enrico Herrmann

  2. Center for Quantum Mathematics and Physics (QMAP), Department of Physics, University of California, Davis, CA, 95616, U.S.A.

    Jaroslav Trnka

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  1. Enrico Herrmann
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  2. Jaroslav Trnka
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Correspondence to Jaroslav Trnka.

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Herrmann, E., Trnka, J. Gravity on-shell diagrams. J. High Energ. Phys. 2016, 136 (2016). https://doi.org/10.1007/JHEP11(2016)136

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Keywords

  • Scattering Amplitudes
  • Spacetime Singularities