Equivalence of twistor prescriptions for super Yang-Mills

Abstract

There is evidence that one can compute tree-level super Yang-Mills amplitudes using either connected or completely disconnected curves in twistor space. We give a partial explanation of the equivalence between the two computations, by showing that they could both be reduced to the same integral over a moduli space of singular curves, subject to some assumptions about the choices of integration contours. We also formulate a class of new “intermediate” prescriptions to calculate the same amplitudes.