Higher Structures in Algebraic Quantum Field Theory

Marco Benini, Alexander Schenkel
March 07, 2019
A brief overview of the recent developments of operadic and higher categorical techniques in algebraic quantum field theory is given. The relevance of such mathematical structures for the description of gauge theories is discussed.
open access link Fortschr. Phys. 67, 1910015 (2019) article file
@article{Benini:2019uge, author = "Benini, Marco and Schenkel, Alexander", title = "{Higher Structures in Algebraic Quantum Field Theory}", booktitle = "{Durham Symposium, Higher Structures in M-Theory Durham, UK, August 12-18, 2018}", year = "2019", doi = "10.1002/prop.201910015", note = "[Fortsch. Phys.67,no.8-9,1910015(2019)]", eprint = "1903.02878", archivePrefix = "arXiv", primaryClass = "hep-th", reportNumber = "ZMP-HH/18-27, Hamburger Beitraege zur Mathematik Nr. 782", SLACcitation = "%%CITATION = ARXIV:1903.02878;%%" }

algebraic quantum field theory, gauge field theories, higher structures, model categories, colored operads, stacks