Skip to content
DraconiticResearch
Search Sources API
201,818 studies31 sourcesUpdated 48 min ago
PreprintarXiv licencearXiv

Classical freeness of affine vertex algebras of sl2 at boundary admissible levels

  • Tomoyuki Arakawa
  • Xuanzhong Dai
Open at sourcePDFDOICite

Abstract

We prove that the simple affine vertex algebra Lk(sl2) is classically free at the boundary admissible level, which confirms a conjecture of Andrews, van Ekeren, and Heluani.

Related

  1. Vector Bundles of Coinvariants for Admissible Affine Vertex Operator Algebras
    Victor Alekseev, Jianqi Liu
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  2. Fusion rules and rigidity for weight modules over the simple admissible affine sl(2) and N=2 superconformal vertex operator superalgebras
    Hiromu Nakano, Florencia Orosz Hunziker, Ana Ros Camacho +1
    Advances in MathematicsPeer-reviewedLicence not statedFull text15 citedGeometry & topologyOpenAlex
  3. Affine sl2 at admissible levels and quantum sl2|1
    Thomas Creutzig, Simon D. Lentner
    arXivPreprintarXiv licenceFull textAlgebra & number theoryHigh-energy & particle physicsarXiv
  4. Counterexamples to torsion-freeness in the K-theory of crystallographic group C*-algebras
    Cristian Sarmiento, Mario Velasquez
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  5. Freeness and divisibility for right H-simple left H-comodule algebras over a pointed Hopf algebra H
    Daisuke Nakamura
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv

Cite

BibTeXRIS
BibTeX
@misc{arakawa2026classical,
  title = {{Classical freeness of affine vertex algebras of $\mathfraksl_2$ at boundary admissible levels}},
  author = {Tomoyuki Arakawa and Xuanzhong Dai},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.33348},
  eprint = {2609.33348},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.33348},
}
RIS
TY  - UNPB
TI  - Classical freeness of affine vertex algebras of sl_2 at boundary admissible levels
AU  - Tomoyuki Arakawa
AU  - Xuanzhong Dai
PY  - 2026
DA  - 2026/09/27
PB  - arXiv
DO  - 10.48550/arxiv.2609.33348
UR  - https://arxiv.org/abs/2609.33348
AB  - We prove that the simple affine vertex algebra L_k(sl_2) is classically free at the boundary admissible level, which confirms a conjecture of Andrews, van Ekeren, and Heluani.
ER  -