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.
Highlights
JHEP05(2016)116 of [5, 6] can be interpreted as a splitting in the holomorphic theory which is responsible for a very simple construction of the b ghost and a generalization of the operatorb of (1.1)
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 addressed with a new proposal for the BRST charge
Summary
The α → 0 limit of the pure spinor superstring was first discussed in [3]. For the type II case, the proposed action is . Similar equations for Am, Wαˆ and Fmn in terms of Aα These auxiliary fields are the basic ingredients of the integrated vertex V presented in [3], given by:. The BRST cohomology of (2.4) is not clear enough and a consistent coupling with curved backgrounds seems to require a slight modification of the flat space limit just presented [5, 6]. These features will be discussed, reviewed and extended in the rest of the section
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