Closed string disk amplitudes in the pure spinor formalism

TL;DR

This paper evaluates closed string disk amplitudes within the pure spinor formalism, addressing technical issues like gauge fixing and zero mode prescriptions, and confirms consistency with RNS formalism results.

Contribution

It provides a detailed analysis of low point functions in the pure spinor formalism and discusses technical challenges relevant for higher n-point functions.

Findings

Agreement with RNS formalism results

Insights into gauge fixing issues on the disk

Clarification of zero mode prescriptions in pure spinor formalism

Abstract

We evaluate closed string disk amplitudes in the pure spinor formalism. We focus on low point functions (two- and one-point functions) but our analysis is also relevant for higher n-point functions. Amongst others we discuss issues arising due to the gauge fixing of the conformal Killing group of the disk and due to the zero mode prescription in the pure spinor formalism. As expected, in the end we find agreement with the known results from the RNS formalism.