On the solutions of the scattering equations

Abstract

This paper addresses the question, whether the solutions of the scattering equations in four space-time dimensions can be expressed as rational functions of the momentum twistor variables. This is the case for $n\le 5$ external particles. For general $n$ there are always two solutions, which are rational functions of the momentum twistor variables. However, the remaining solutions are in general not rational. In the case $n=6$ the remaining four solutions can be expressed as algebraic functions. These four solutions are constructed explicitly in this paper.

arXiv comment16 pages, version to be published, additional file with explicit expressions for eq.56 and eq.61 provided

References in corpus (3)

• Infinite Tension Limit of the Pure Spinor Superstring
• Scattering in Three Dimensions from Rational Maps
• The Kinematic Algebras from the Scattering Equations

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