Connecting the ambitwistor and the sectorized heterotic strings

Abstract

The sectorized description of the (chiral) heterotic string using pure spinors has been misleadingly viewed as an infinite tension string. One evidence for this fact comes from the tree level 3-point graviton amplitude, which we show to contain the usual Einstein term plus a higher curvature contribution. After reintroducing a dimensionful parameter $\ell$ in the theory, we demonstrate that the heterotic model is in fact two-fold, depending on the choice of the supersymmetric sector, and that the spectrum also contains one massive (open string like) multiplet. By taking the $\ell \to \infty$ limit, we finally show that the ambitwistor string is recovered, reproducing the unexpected heterotic state in Mason and Skinner's RNS description.

arXiv comment30 pages, one figure. Clarifications and references added. Published version

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• Ambitwistor formulations of $R^2$ gravity and $(DF{)}^2$ gauge theories
• String amplitudes from field-theory amplitudes and vice versa
• Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
• Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality
• A String Theory Which Isn't About Strings
• String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
• Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators
• Ambitwistor string vertex operators on curved backgrounds
• Windings of twisted strings
• Bosonic sectorized strings and the $(DF{)}^2$ theory
• Yang-Mills theory from the worldsheet
• Asymmetrically twisted strings
• Towards the underlying gauge theory of the pure spinor superstring
• Green-Schwarz and Pure Spinor Formulations of Chiral Strings
• Massive strings from a haunted field theory
• On an alternative quantization of R-NS strings
• Ambitwistor strings and amplitudes in curved backgrounds