We give a comprehensive review of recent developments on using the pure spinor
formalism to compute massless superstring scattering amplitudes at tree level. The main …

Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics
duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally …

We prove that the tree-level scattering amplitudes for (super) Yang-Mills theory in arbitrary
dimensions and for M2-brane models exhibit color-kinematics (CK) duality. Our proof for …

The b ghost, or b operator, used for fixing Siegel gauge in the pure spinor superfield
formalism, is a composite operator of negative ghost number, satisfying q, b=□ …

A bstract 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 …

A bstract In this work, the DDF-like approach to the pure spinor cohomology is extended to
the next ghost number level, the so called antifields. In a direct (supersymmetric) parallel to …

Field theories with kinematic Lie algebras, such as field theories featuring colour-kinematics
duality, possess an underlying algebraic structure known as BV ${}^{\color …

A bstract The OPE between the composite b ghost and the unintegrated vertex operator for
massless states of the pure spinor superstring is computed and shown to reproduce the …

A bstract We study the non-minimal pure spinor string in a curved background. We find that
the minimal BRST invariance implies the existence of a non-trivial stress-energy tensor for …

We consider the Polyakov theory of bosonic strings in conformal gauge which are used to
study the conformal anomaly. However, it exhibits ghost number anomaly. We show how this …