Skip to content
DraconiticResearch
Search Sources API
201,683 studies31 sourcesUpdated 27 min ago
PreprintarXiv licencearXiv

Affine sl2 at admissible levels and quantum sl2|1

  • Thomas Creutzig
  • Simon D. Lentner
Open at sourcePDFDOICite

Abstract

We prove braided tensor equivalences between the categories of weight modules of the affine vertex algebra of sl2 at any admissible level and categories associated to partially semisimplified versions of quantum sl2|1 at roots of unity.

Related

  1. Classical freeness of affine vertex algebras of sl2 at boundary admissible levels
    Tomoyuki Arakawa, Xuanzhong Dai
    arXivPreprintarXiv licenceFull textAlgebra & number theoryMathematical physicsarXiv
  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. Vector Bundles of Coinvariants for Admissible Affine Vertex Operator Algebras
    Victor Alekseev, Jianqi Liu
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  4. New Minimum Storage Regenerating Codes With Small Sub-packetization Levels for All Admissible Repair Degrees
    Jie Li, Xiaohu Tang, Linqi Song
    arXivPreprintarXiv licenceFull textGeneral mathematicsarXiv
  5. Affine iquantum groups and Steinberg varieties of type C
    Changjian Su, Weiqiang Wang
    Selecta MathematicaPeer-reviewedLicence not statedFull text12 citedGeometry & topologyOpenAlex

Cite

BibTeXRIS
BibTeX
@misc{creutzig2026affine,
  title = {{Affine $\mathfraksl_2$ at admissible levels and quantum $\mathfraksl_2|1$}},
  author = {Thomas Creutzig and Simon D. Lentner},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.12895},
  eprint = {2609.12895},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.12895},
}
RIS
TY  - UNPB
TI  - Affine sl_2 at admissible levels and quantum sl_2|1
AU  - Thomas Creutzig
AU  - Simon D. Lentner
PY  - 2026
DA  - 2026/09/11
PB  - arXiv
DO  - 10.48550/arxiv.2609.12895
UR  - https://arxiv.org/abs/2609.12895
AB  - We prove braided tensor equivalences between the categories of weight modules of the affine vertex algebra of sl_2 at any admissible level and categories associated to partially semisimplified versions of quantum sl_2|1 at roots of unity.
ER  -