One Loop Mass Renormalization of Massive States Using Pure Spinor Formalism

TL;DR

This paper computes the one-loop mass renormalization of massive states in heterotic string theory using the pure spinor formalism, confirming its consistency with the RNS approach.

Contribution

It demonstrates the equivalence of pure spinor and RNS formalisms at loop level for massive states in heterotic string theory.

Findings

One-loop mass renormalization matches RNS results.

Validates pure spinor formalism for massive state calculations.

Confirms formalism consistency at quantum level.

Abstract

As a check of the first massive integrated vertex operator in the pure spinor formalism constructed in arXiv:1802.04486, we compute the one loop 2-point function of the stable non-BPS massive states in SO(32) heterotic string theory. This allows us to compute the one loop renormalized mass of these states using the pure spinor formalism. Our results are in agreement with the corresponding results obtained by Sen using the RNS formalism. This provides an instance of the equivalence between the RNS and the pure spinor formalism for the massive states at loop level.