The S matrix of 6D super Yang-Mills and maximal supergravity from rational maps View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-09

AUTHORS

Freddy Cachazo, Alfredo Guevara, Matthew Heydeman, Sebastian Mizera, John H. Schwarz, Congkao Wen

ABSTRACT

We present new formulas for n-particle tree-level scattering amplitudes of six-dimensional N=11 super Yang-Mills (SYM) and N=22 supergravity (SUGRA). They are written as integrals over the moduli space of certain rational maps localized on the (n − 3)! solutions of the scattering equations. Due to the properties of spinor-helicity variables in six dimensions, the even-n and odd-n formulas are quite different and have to be treated separately. We first propose a manifestly supersymmetric expression for the even-n amplitudes of N=11 SYM theory and perform various consistency checks. By considering soft-gluon limits of the even-n amplitudes, we deduce the form of the rational maps and the integrand for n odd. The odd-n formulas obtained in this way have a new redundancy that is intertwined with the usual SL(2, ℂ) invariance on the Riemann sphere. We also propose an alternative form of the formulas, analogous to the Witten-RSV formulation, and explore its relationship with the symplectic (or Lagrangian) Grassmannian. Since the amplitudes are formulated in a way that manifests double-copy properties, formulas for the six-dimensional N=22 SUGRA amplitudes follow. These six-dimensional results allow us to deduce new formulas for five-dimensional SYM and SUGRA amplitudes, as well as massive amplitudes of four-dimensional N=4 SYM on the Coulomb branch. More... »

PAGES

125

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/jhep09(2018)125

DOI

http://dx.doi.org/10.1007/jhep09(2018)125

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1107187280


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