Conformal Supergravity Tree Amplitudes from Open Twistor String Theory

Abstract

We display the vertex operators for all states in the conformal supergravity sector of the twistor string, as outlined by Berkovits and Witten. These include `dipole' states, which are pairs of supergravitons that do not diagonalize the translation generators. We use canonical quantization of the open string version of Berkovits, and compute N-point tree level scattering amplitudes for gravitons, gluons and scalars. We reproduce the Berkovits-Witten formula for maximal helicity violating (MHV) amplitudes (which they derived using path integrals), and extend their results to the dipole pairs. We compare these trees with those of Einstein gravity field theory.

31 pages, expanded version, references added

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• On triviality of S-matrix in conformal higher spin theory
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• Twistor-strings and gravity tree amplitudes
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• Instantons, Twistors, and Emergent Gravity
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• Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics
• New Twistor String Theories revisited
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• On Closed Twistor String Theory
• Spectrum, Scattering Amplitudes, and String Field Theory of 4 Dimensional Twistor String