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New worldsheet formulae for conformal supergravity amplitudes.

Farrow, Joseph A. and Lipstein, Arthur E. (2018) 'New worldsheet formulae for conformal supergravity amplitudes.', Journal of high energy physics., 2018 (7). p. 74.


We use 4d ambitwistor string theory to derive new worldsheet formulae for tree-level conformal supergravity amplitudes supported on refined scattering equations. Unlike the worldsheet formulae for super-Yang-Mills or supergravity, the scattering equations for conformal supergravity are not in general refined by MHV degree. Nevertheless, we obtain a concise worldsheet formula for any number of scalars and gravitons which we lift to a manifestly supersymmetric formula using four types of vertex operators. The theory also contains states with non-plane wave boundary conditions and we show that the corresponding amplitudes can be obtained from plane-wave amplitudes by applying momentum derivatives. Such derivatives are subtle to define since the formulae are intrinsically four-dimensional and on-shell, so we develop a method for computing momentum derivatives of spinor variables.

Item Type:Article
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Publisher statement:© The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:06 July 2018
Date deposited:12 July 2018
Date of first online publication:11 July 2018
Date first made open access:No date available

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