Quantum field theoretic representation of Wilson surfaces: II higher topological coadjoint orbit model
From MaRDI portal
Publication:6400088
DOI10.1007/JHEP01(2023)016arXiv2205.12321MaRDI QIDQ6400088
Publication date: 24 May 2022
Abstract: This is the second of a series of two papers devoted to the partition function realization of Wilson surfaces in strict higher gauge theory. A higher 2--dimensional counterpart of the topological coadjoint orbit quantum mechanical model computing Wilson lines is presented based on the derived geometric framework, which has shown its usefulness in 4--dimensional higher Chern--Simons theory. Its symmetries are described. Its quantization is analyzed in the functional integral framework. Strong evidence is provided that the model does indeed underlie the partition function realization of Wilson surfaces. The emergence of the vanishing fake curvature condition is explained and homotopy invariance for a flat higher gauge field is shown. The model's Hamiltonian formulation is further furnished highlighting the model's close relationship to the derived Kirillov-Kostant-Souriau theory developed in the companion paper.
This page was built for publication: Quantum field theoretic representation of Wilson surfaces: II higher topological coadjoint orbit model
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6400088)
