Smash product construction of modular lattice vertex algebras

Qiang Mu; Qiang Mu

doi:10.3934/era.2022011

Electronic Research Archive

2022, Volume 30, Issue 1: 204-220. doi: 10.3934/era.2022011

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Research article

Smash product construction of modular lattice vertex algebras

Qiang Mu ^,

School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang 150025, China

Received: 08 August 2021 Revised: 17 November 2021 Accepted: 17 November 2021 Published: 24 December 2021

Motivated by a work of Li, we study nonlocal vertex algebras and their smash products over fields of positive characteristic. Through smash products, modular vertex algebras associated with positive definite even lattices are reconstructed. This gives a different construction of the modular vertex algebras obtained from integral forms introduced by Dong and Griess in lattice vertex operator algebras over a field of characteristic zero.
- vertex operator algebra,
- modular vertex algebra
Citation: Qiang Mu. Smash product construction of modular lattice vertex algebras[J]. Electronic Research Archive, 2022, 30(1): 204-220. doi: 10.3934/era.2022011

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Abstract

Motivated by a work of Li, we study nonlocal vertex algebras and their smash products over fields of positive characteristic. Through smash products, modular vertex algebras associated with positive definite even lattices are reconstructed. This gives a different construction of the modular vertex algebras obtained from integral forms introduced by Dong and Griess in lattice vertex operator algebras over a field of characteristic zero.

References

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