English

Conformal operads and the basic vertex algebra cohomology complex

Representation Theory 2024-07-09 v1 Mathematical Physics math.MP Quantum Algebra

Abstract

We develop the notion of a (pro-) conformal pseudo operad and apply it to the construction of the basic cohomology complex of a vertex algebra. The paper heavily uses the ideas and constructions of the work of Tamarkin [Tam02]

Keywords

Cite

@article{arxiv.2407.05725,
  title  = {Conformal operads and the basic vertex algebra cohomology complex},
  author = {Alberto De Sole and Reimundo Heluani and Victor Kac},
  journal= {arXiv preprint arXiv:2407.05725},
  year   = {2024}
}

Comments

40 pages

R2 v1 2026-06-28T17:32:32.052Z