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Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM

Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM

The tree-level S-matrix of Einstein’s theory is known to have a representation as an integral over the moduli space of punctured spheres localized to the solutions of the scattering equations. In this paper we introduce three operations that can be applied on the integrand in order to produce other theories. …