The cancellation of worldsheet anomalies in the D=10 Green--Schwarz heterotic string sigma--model

TL;DR

This paper analyzes and proves the cancellation of anomalies in the two-dimensional Green--Schwarz heterotic string sigma--model in ten dimensions, ensuring consistency of the theory.

Contribution

It explicitly computes the Weyl, Lorentz, and κ-anomalies and demonstrates their cancellation in a covariant background gauge, advancing understanding of anomaly cancellation in string theory.

Findings

Anomalies are explicitly calculated in the model.

Anomaly cancellation is proven in a covariant gauge.

Results support the consistency of the D=10 heterotic string.

Abstract

We determine the two--dimensional Weyl, Lorentz and $\kappa$--anomalies in the $D=10$ Green--Schwarz heterotic string sigma--model, in an $SO(1,9)$-Lorentz covariant background gauge, and prove their cancellation.