Lambda: A Mathematica-package for operator product expansions in vertex algebras

TL;DR

The paper introduces Lambda, a Mathematica package that automates the calculation of lambda-brackets in vertex and SUSY vertex algebras, facilitating operator product expansion computations in conformal field theory.

Contribution

It provides a new computational tool for calculating lambda-brackets in vertex algebras, including SUSY variants, with examples in component and superfield notation.

Findings

Automates lambda-bracket calculations in vertex algebras.

Supports SUSY vertex algebra computations.

Includes illustrative examples in different notations.

Abstract

We give an introduction to the Mathematica package Lambda, designed for calculating $\lambda$-brackets in both vertex algebras, and in SUSY vertex algebras. This is equivalent to calculating operator product expansions in two-dimensional conformal field theory. The syntax of $\lambda$-brackets is reviewed, and some simple examples are shown, both in component notation, and in $N=1$ superfield notation.