New worldsheet formulae for conformal supergravity amplitudes

Journal of High Energy Physics

Arthur E. Lipstein¹  Joseph A. Farrow¹ 

[1] Department of Mathematical Sciences, Durham University;

关键词: Scattering Amplitudes;    Conformal Field Models in String Theory;    Supergravity Models;   

DOI  :  10.1007/JHEP07(2018)074

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown