Dynamical twisting and the b ghost in the pure spinor formalism

TL;DR

This paper introduces a new interpretation of the pure spinor formalism by adding a fermionic vector, leading to a simplified b ghost and a dynamical twisting perspective akin to RNS superconformal field theory.

Contribution

It presents a novel formulation of the pure spinor formalism with a simplified b ghost and interprets the structure as a dynamical twisting of the RNS formalism based on pure spinor variables.

Findings

Simplified form of the non-minimal b ghost.

Interpretation of the N=2 superconformal algebra as a dynamical twisting.

Connection between pure spinor variables and twisting choices.

Abstract

After adding an RNS-like fermionic vector \psi^m to the pure spinor formalism, the non-minimal b ghost takes a simple form similar to the pure spinor BRST operator. The N=2 superconformal field theory generated by the b ghost and the BRST current can be interpreted as a "dynamical twisting" of the RNS formalism where the choice of which spin half \psi^m variables are twisted into spin 0 and spin 1 variables is determined by the pure spinor variables that parameterize the coset SO(10)/U(5).