Conformal subalgebras of lattice vertex algebras
| dc.creator | Roitman, Michael | |
| dc.date | 2000-11-28 | |
| dc.date.accessioned | 2026-07-07T04:38:54Z | |
| dc.date.available | 2026-07-07T04:38:54Z | |
| dc.description | In this paper we classify, under certain restrictions, all homogeneous conformal subalgebras $\goth L$ of a lattice vertex superalgebra $V_Λ$ corresponding to an integer lattice $Λ$. We require that $\goth L$ is graded by an almost finite root system $Δ\subset Λ$ and that $\goth L$ is stable under the action of the Heisenberg conformal algebra $\goth H\subset V_Λ$. We also describe the root systems of these subalgebras. The key ingredient of this classification is an infinite type conformal algebra $\goth K$ obtained by the Tits-Kantor-Koeher construction from a certain Jordan conformal triple system $\goth J$. We realize a central extension $\^{\goth K}$ of $\goth K$ inside the fermionic vertex superalgebra $V_\Z$, thus extending the bozon-fermion correspondence. | |
| dc.identifier | https://arxiv.org/abs/math/0011243 | |
| dc.identifier | http://arxiv.org/abs/math/0011243 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60460 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17b69 | |
| dc.title | Conformal subalgebras of lattice vertex algebras | |
| dc.type | text |