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Title:
Ambitwistor Strings and the scattering equations
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Abstract:
We show that string theories admit chiral infinite tension analogues in which only the massless parts of the spectrum survive. Geometrically they are realized as holomorphic string theories in spaces of complex null geodesics (known as ambitwistor space in four dimensions). They have the standard critical dimensions of string theory (26 in the bosonic case and 10 for the superstring). Their quantization leads to the formulae for tree-level scattering of massless particles found recently by Cachazo, Ellis and He. These representations localize the integral over vertex operators to the same saddle points found by Gross and Mende as a consequence of a natural gauge condition on ambitwistor space that naturally incorporate the scattering equations. The worldsheet theory suggests a natural way to extend these amplitudes to spinor fields and loop level.
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