Categorical symmetries of T-duality
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.
- Pub Date:
- February 2022
- Mathematics - Algebraic Topology;
- Mathematical Physics
- 39pages. v2 has several smaller corrections and an improved introduction