Notes on the ambitwistor pure spinor string

Abstract

In this work, some aspects of the ambitwistor pure spinor string are investigated. The $b$ ghost is presented and its main properties are derived in a simple way, very similar to the usual pure spinor $b$ ghost construction. The heterotic case is also addressed with a new proposal for the BRST charge. The BRST cohomology is shown to correctly describe the heterotic supergravity spectrum and a semi-composite $b$ ghost is constructed.

23 pages, reference and clarifications added, typos fixed. Published version

References in corpus (6)

• Ambitwistor strings and the scattering equations
• Ambitwistor strings and the scattering equations at one loop
• Infinite Tension Limit of the Pure Spinor Superstring
• N-Point Tree-Level Scattering Amplitude in the New Berkovits' String
• A Worldsheet Theory for Supergravity
• The b Ghost of the Pure Spinor Formalism is Nilpotent

Cited by in corpus (11)

• Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions
• Amplitudes on plane waves from ambitwistor strings
• Connecting the ambitwistor and the sectorized heterotic strings
• Background constraints in the infinite tension limit of the heterotic string
• Ambitwistor string vertex operators on curved backgrounds
• Bosonic sectorized strings and the $(DF{)}^2$ theory
• Chiral strings, the sectorized description and their integrated vertex operators
• On-shell type II supergravity from the ambitwistor pure spinor string
• Towards the underlying gauge theory of the pure spinor superstring
• Ambitwistor superstring in the Green-Schwarz formulation
• Green-Schwarz and Pure Spinor Formulations of Chiral Strings