Worldsheet Geometries of Ambitwistor String

TL;DR

This paper explores the geometric structures of the moduli space in ambitwistor string theory and examines amplitude factorization, proposing new models with additional fermionic currents.

Contribution

It provides a detailed analysis of worldsheet geometries in ambitwistor strings and introduces potential models with three or four fermionic currents.

Findings

Analysis of moduli space geometries for ambitwistor strings

Investigation of amplitude factorization near on-shell internal momenta

Proposal of ambitwistor string models with additional fermionic currents

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.