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 argue that the two computations are equivalent, if the integration contours are chosen in a specific way, by showing that they can both be reduced to the same integral over a moduli space of singular curves. We also formulate a class of new ``intermediate'' prescriptions to calculate the same amplitudes.

v2: small clarifications added and typos fixed; 35+1 pages, 9 figures, LaTeX