New worldsheet formulae for conformal supergravity amplitudes

Farrow, Joseph A.; Lipstein, Arthur E.

Abstract

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.

Citation

Farrow, J. A., & Lipstein, A. E. (2018). New worldsheet formulae for conformal supergravity amplitudes. Journal of High Energy Physics, 2018(7), Article 074. https://doi.org/10.1007/jhep07%282018%29074

• Journal Article Type: Article
• Acceptance Date: Jul 6, 2018
• Online Publication Date: Jul 11, 2018
• Publication Date: Jul 11, 2018
• Deposit Date: Jul 11, 2018
• Publicly Available Date: Jul 12, 2018
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 7
• Article Number: 074
• DOI: https://doi.org/10.1007/jhep07%282018%29074