Abstract
A new ambitwistor string is constructed based on a ten-dimensional super-twistor 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.
Highlights
Of us [4] that covariantly quantizes the ten-dimensional massless superparticle model using twistor variables
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
Summary
2.1 Standard 10D massless superparticle The ten-dimensional Brink-Schwarz superparticle is described by the action: S=. Where Xm, P m are bosonic SO(1, 9) vectors, θα is a fermionic SO(1, 9) Majorana-Weyl spinor, e is the Lagrange multiplier enforcing the massless condition P 2 = 0 and (γm)αβ, (γm)αβ are the Pauli matrices, symmetric real 16× 16 matrices satisfying (γm)αβ(γn)βδ + (γn)αβ(γm)βδ = 2ηmnδδα. This action is invariant under the global Poincare group together with the global supersymmetry: δθα = ǫα , δXm = −i(δθγmθ) , δP m = 0 , δe = 0.
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