Conformal supergravity tree amplitudes from open twistor string theory. (English) Zbl 1194.83096
Summary: 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.
MSC:
| 83E50 | Supergravity |
| 83E30 | String and superstring theories in gravitational theory |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81R25 | Spinor and twistor methods applied to problems in quantum theory |
Keywords:
Berkovits and Witten; supergravitons; canonical quantization; \(N\)-point tree level scattering amplitudesReferences:
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