Abstract
In this paper we construct the ambitwistor superstring in the Green–Schwarz formulation. The model is obtained from the related pure spinor version. We show that the spectrum contains only ten-dimensional supergravity and that kappa symmetry in a curved background implies some of the standard constraints.
Highlights
It would be interesting to apply the well known light-cone methods to compute scattering amplitudes in this string and see if they match with the ones obtained from the Mason– Skinner string and the pure spinor version
We construct an action for the ambitwistor in Green–Schwarz formalism
We find the κ symmetry of the theory and the Virasoro-like constraints
Summary
We construct an action for the ambitwistor in Green–Schwarz formalism. We find the κ symmetry of the theory and the Virasoro-like constraints. The second term in (2.14) is equal to PRm PRn(κγnγm ∂ ̄ θ) = PRm PRm (κα ∂ ̄ θα ) Plugging these results into (2.14) we obtain the necessity of imposing the constraints of the fermionic coordinates in (2.4) determines a constraint which is used to define a BRST charge. It is interesting to note that both the bosonic and the RNS ambitwistor strings are related to their respective pointparticle cases in the first order formulation if all fields do not depend on the spatial world-sheet coordinate. This is not true when there is space-time supersymmetry. In order to obtain the ambitwistor string from the Brink–Schwarz action, more guess work is necessary to find the correct set of local symmetries
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
