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

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.