Pure Spinor Partition Function Using Pade Approximants

TL;DR

This paper introduces a novel application of Pade approximants to compute the pure spinor partition function, extending calculations up to the twelfth mass-level, advancing towards a complete explicit form.

Contribution

The paper presents the first use of Pade approximants for calculating the pure spinor partition function beyond previous limits.

Findings

Partition function computed up to the twelfth mass-level.

Pade approximants effectively extend the calculation range.

Progress towards an explicit full partition function.

Abstract

In a recent paper, the partition function (character) of ten-dimensional pure spinor worldsheet variables was calculated explicitly up to the fifth mass-level. In this letter, we propose a novel application of Pade approximants as a tool for computing the character of pure spinors. We get results up to the twelfth mass-level. This work is a first step towards an explicit construction of the complete pure spinor partition function.