Supertwistor description of ambitwistor strings

Abstract

A new ambitwistor string is constructed based on a ten-dimensional supertwistor model for the massless superparticle. Although covariant quantization is complicated by reducibility issues, a light-cone gauge analysis can be easily performed. We show that with this analysis, this supertwistor ambitwistor string is equivalent to the RNS ambitwistor string in light-cone gauge. In order to make the comparison, we develop the light-cone gauge analysis of the RNS ambitwistor string which has some novel features in terms of its expression of the scattering equations through interaction point operators.

A pure spinor twistor description of the D = 10 superparticle

“…First and foremost, one may straightforwardly generalize the construction presented here to its type IIB version through a simple extension of the supertwistors (3.1) including an additional set of constrained fermionic variables. More interestingly, one might try to construct a prescription for computing scattering amplitudes using ideas inspired in light-cone gauge functional integration, as done in [32] for the Berkovits superparticle model studied in section 2. This…”

On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring

“…When this paper have been finished and ready for sending to the arXive, the article [75] appear on the net. There another supertwistor formulation of ambitwistor superstring was considered, quantized in light cone gauge and compared with the light cone gauge description of the RNS type formulation of the ambitwistor superstring [42].…”

“…There another supertwistor formulation of ambitwistor superstring was considered, quantized in light cone gauge and compared with the light cone gauge description of the RNS type formulation of the ambitwistor superstring [42]. The light cone gauge scattering amplitudes have been also discussed in [75]. The supertwistor used in [75] were introduced in [76] in the context of massless superparticle models (see also [77]).…”

“…The light cone gauge scattering amplitudes have been also discussed in [75]. The supertwistor used in [75] were introduced in [76] in the context of massless superparticle models (see also [77]). They consist of an unconstrained 16-component bosonic spinor λ α , canonically conjugate to it 16-component bosonic spinors w α , and fermionic 10-vector ψ µ .…”

One-loop integrand from generalised scattering equations

“…Witten's seminal work on twistor string theory [2] led to the formulation of integral representations of the S-matrix for N = 4 super Yang-Mills theory [3]. BCFW recursion relations [4][5][6] and ambitwistor string models [7][8][9][10][11][12][13][14][15] are notable developments in the contemporary S-matrix program.…”