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.

v3: note added on package repository and bugfix in SUSY right quasi-Leibniz rule

References in corpus (9)

• Vertex Algebras and Algebraic Curves
• Chiral de Rham complex
• GAMMA: A Mathematica package for performing gamma-matrix algebra and Fierz transformations in arbitrary dimensions
• Supersymmetry of the Chiral de Rham Complex
• Supersymmetric vertex algebras
• A Mathematica Package for Computing N=2 Superfield Operator Product Expansions
• Chiral de Rham complex on Riemannian manifolds and special holonomy
• Supersymmetry of the chiral de Rham complex II: Commuting Sectors
• A supergeometric interpretation of vertex operator superalgebras

Cited by in corpus (6)

• Double Field Theory on Group Manifolds
• Free-field realisations of the BMS${}_3$ algebra and its extensions
• Chiral de Rham complex on Riemannian manifolds and special holonomy
• Ambitwistor Strings and the Scattering Equations on AdS${}_3\times$S${}^3$
• Unitary representations of the ${\mathcal{W}}_3$-algebra with $c\ge 2$
• MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine $\mathcal{W}$-algebras