Superconformal algebras over arbitrary rings of coefficients

Consuelo Martínez; Efim Zelmanov; Zezhou Zhang

Superconformal algebras over arbitrary rings of coefficients

Rings and Algebras 2026-07-12 v1 Representation Theory

Authors: Consuelo Martínez , Efim Zelmanov , Zezhou Zhang

Abstract

We define analogs of superconformal algebras over an arbitrary commutative associative superalgebra. In the finitely generated case the universal central extensions of these algebras are finitely presented. In particular, we show that all known superconformal algebras are finitely presented.

Keywords

superconformal algebra universal central extension superalgebra finite presentation

Cite

@article{arxiv.2607.10821,
  title  = {Superconformal algebras over arbitrary rings of coefficients},
  author = {Consuelo Martínez and Efim Zelmanov and Zezhou Zhang},
  journal= {arXiv preprint arXiv:2607.10821},
  year   = {2026}
}

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38 pages