Categorical symmetries of T-duality

Konrad Waldorf

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arXiv · 2202.09187

Categorical symmetries of T-duality

Konrad Waldorf

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Abstract

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.

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Konrad Waldorf. 2022-02-18. Categorical symmetries of T-duality. https://arxiv.org/abs/2202.09187

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