An algorithm for evaluating Gram matrices in Verma modules of W-algebras

TL;DR

This paper introduces a dynamic programming algorithm for evaluating operators and Gram matrices in superconformal algebras, accompanied by a Mathematica package implementation.

Contribution

The paper presents a novel, efficient algorithm for computing Gram matrices in Verma modules of W-algebras, with an accompanying software tool.

Findings

Algorithm efficiently computes Gram matrices

Implementation available as Weaver.m package

Applicable to a wide range of superconformal algebras

Abstract

I present a simple dynamic programming algorithm for the evaluation of operators in a wide range of superconformal algebras. Special care is taken to describe the computation of the Gram matrix. A Mathematica package, Weaver.m, is provided that implements the algorithm.