Categorical symmetries of Tduality
Abstract
Topological Tduality correspondences are higher categorical objects that can be classified by a strict Lie 2group. In this article we compute the categorical automorphism group of this 2group; hence, the highercategorical symmetries of topological Tduality. We prove that the categorical automorphism group is a noncentral categorical extension of the integral split pseudoorthogonal group. We show that it splits over several subgroups, and that its kinvariant is 2torsion.
 Publication:

arXiv eprints
 Pub Date:
 February 2022
 DOI:
 10.48550/arXiv.2202.09187
 arXiv:
 arXiv:2202.09187
 Bibcode:
 2022arXiv220209187W
 Keywords:

 Mathematics  Algebraic Topology;
 Mathematical Physics
 EPrint:
 39pages. v2 has several smaller corrections and an improved introduction