A Note on T-dualities in the Pure Spinor Heterotic String

TL;DR

This paper investigates how super T-duality transformations affect the classical pure spinor BRST constraints, conformal invariance, and anomalies in the heterotic string, ensuring their preservation under dualities.

Contribution

It provides a detailed analysis of the invariance of key string theory constraints and anomalies under super T-duality transformations in the pure spinor formalism.

Findings

BRST constraints are preserved under super T-duality.

One-loop conformal invariance remains invariant under super T-duality.

Local gauge and Lorentz anomalies are unaffected by super T-duality.

Abstract

In this note we study the preservation of the classical pure spinor BRST constraints under super T-duality transformations. We also determine the invariance of the one-loop conformal invariance and of the local gauge and Lorentz anomalies under the super T-dualities.