Cubic Twistorial String Field Theory

Abstract

Witten has recently proposed a string theory in twistor space whose D-instanton contributions are conjectured to compute N=4 super-Yang-Mills scattering amplitudes. An alternative string theory in twistor space was then proposed whose open string tree amplitudes reproduce the D-instanton computations of maximal degree in Witten's model. In this paper, a cubic open string field theory action is constructed for this alternative string in twistor space, and is shown to be invariant under parity transformations which exchange MHV and googly amplitudes. Since the string field theory action is gauge-invariant and reproduces the correct cubic super-Yang-Mills interactions, it provides strong support for the conjecture that the string theory correctly computes N-point super-Yang-Mills tree amplitudes.

19+1 pages, 4+1 EPS figures, JHEP3 LaTeX; v2: minor corrections, references added; v3: the final version published in JHEP with a new footnote on the d=0 on-shell contribution

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• Multi-Parton Amplitudes in Gauge Theories
• MHV Vertices And Tree Amplitudes In Gauge Theory
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• An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
• A Googly Amplitude from the B-model in Twistor Space
• Parity Invariance For Strings In Twistor Space
• N=2 strings and the twistorial Calabi-Yau
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