Categorical symmetries of T-duality
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866916033778941952 |
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| author | Waldorf, Konrad |
| author_facet | Waldorf, Konrad |
| contents | Topological T-duality correspondences are higher categorical objects that can be classified by a strict Lie 2-group. In this article we compute the categorical automorphism group of this 2-group; hence, the higher-categorical symmetries of topological T-duality. We prove that the categorical automorphism group is a non-central categorical extension of the integral split pseudo-orthogonal group. We show that it splits over several subgroups, and that its k-invariant is 2-torsion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_09187 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Categorical symmetries of T-duality Waldorf, Konrad Algebraic Topology Mathematical Physics Topological T-duality correspondences are higher categorical objects that can be classified by a strict Lie 2-group. In this article we compute the categorical automorphism group of this 2-group; hence, the higher-categorical symmetries of topological T-duality. We prove that the categorical automorphism group is a non-central categorical extension of the integral split pseudo-orthogonal group. We show that it splits over several subgroups, and that its k-invariant is 2-torsion. |
| title | Categorical symmetries of T-duality |
| topic | Algebraic Topology Mathematical Physics |
| url | https://arxiv.org/abs/2202.09187 |