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

2010/04/30 by Joel Ekstrand · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th #math.QA #msc:17B69

paper · pdf · doi:10.1016/j.cpc.2010.09.018

published as Comput.Phys.Commun.182:409-418,2011 · v2: minor changes to match published version

openalex publication_date 2010/10/13 · arxiv created 2010/11/09 · arxiv updated 2011/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an introduction to the Mathematica package Lambda, designed for calculating λ-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 λ-brackets is reviewed, and some simple examples are shown, both in component notation, and in N=1 superfield notation.

Citations

• GAMMA: A Mathematica package for performing gamma-matrix algebra and Fierz transformations in arbitrary dimensions
• A package for computing N = 2 superfield operator product expansions
• Supersymmetry of the chiral de Rham complex II: Commuting Sectors
• A supergeometric interpretation of vertex operator superalgebras

Cited by

• Free-field realisations of the BMS3 algebra and its extensions
• MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine \mathcal W W -algebras