Abstract
Mason and Skinner proposed the ambitwistor string theory which directly reproduces the formulas for the amplitudes of massless particles proposed by Cachazo, He and Yuan. In this paper we discuss geometries of the moduli space of worldsheets associated to the bosonic or the RNS ambitwistor string. Further, we investigate the factorization properties of the amplitudes when an internal momentum is near on-shell in the abstract CFT language. Along the way, we propose the existence of the ambitwistor strings with three or four fermionic worldsheet currents.
Highlights
Where Xμ are worldsheet scalars valued in the complexified space-time CD and Pμ are worldsheet one-forms which are conjugate to Xμ
Mason and Skinner proposed the ambitwistor string theory which directly reproduces the formulas for the amplitudes of massless particles proposed by Cachazo, He and Yuan
The striking property of the ambitwistor string is that amplitude Ausual is always localized at isolated points on the moduli space, which are the solutions of the scattering equations
Summary
We generalize the construction of the amplitudes of the previous section to a chiral. Where T , T m, and Tm are those of the previous section, and TFm,a are the additional fermionic primaries. The coefficient Ca is equal to 1 when TF,a = ψa · P , but if we use other TF,a, Ca can be zero (otherwise one can rescale TF,a to make Ca to be equal to 1) and the argument in this paper will not significantly depends on Ca. The coefficient Ca is equal to 1 when TF,a = ψa · P , but if we use other TF,a, Ca can be zero (otherwise one can rescale TF,a to make Ca to be equal to 1) and the argument in this paper will not significantly depends on Ca Note that this algebra is not the usual superconformal algebra since the OPE between fermionic currents generate Tand not the stress energy tensor T. There exits the ghost contribution to the fermionic currents TF,a, and one can check the relations (2.2) and (3.3) hold without the superscript m. We use the symbol ( , ) for the pairing between the elements of Ω(0,1)(Σ, R1) and Γ(Σ, R−3)
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