Deformation classes of invertible field theories and the Freed--Hopkins conjecture

Autor:	Grady, Daniel
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Topology High Energy Physics - Theory Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We prove a conjecture of Freed and Hopkins, which relates deformation classes of reflection positive, invertible, $d$-dimensional extended field theories with fixed symmetry type to a certain generalized cohomology of a Thom spectrum. Along the way, we establish several results, including the construction of a smooth variant of the Brown--Comenetz dual of the sphere spectrum and a calculation of the "deformation type" of the extended geometric bordism category. Comment: 47 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.15866 Zobrazit plný text záznamu View this record from Arxiv