Half-integral levels
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909491515097088 |
|---|---|
| author | Zhao, Yifei |
| author_facet | Zhao, Yifei |
| contents | We construct equivalences among four notions associated to a reductive group scheme $G$: factorization super central extensions of the loop group of $G$ by $\mathbb G_m$ subject to a condition on the commutator, factorization super line bundles on the affine Grassmannian of $G$, rigidified sections of a quotient of $2$-truncated K-theory over the Zariski classifying stack of $G$, and combinatorial data defined by Brylinski and Deligne in a conjectural extension of their classification theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11058 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Half-integral levels Zhao, Yifei Algebraic Geometry Mathematical Physics 14L15, 19C09, 81T40 We construct equivalences among four notions associated to a reductive group scheme $G$: factorization super central extensions of the loop group of $G$ by $\mathbb G_m$ subject to a condition on the commutator, factorization super line bundles on the affine Grassmannian of $G$, rigidified sections of a quotient of $2$-truncated K-theory over the Zariski classifying stack of $G$, and combinatorial data defined by Brylinski and Deligne in a conjectural extension of their classification theorem. |
| title | Half-integral levels |
| topic | Algebraic Geometry Mathematical Physics 14L15, 19C09, 81T40 |
| url | https://arxiv.org/abs/2312.11058 |