{ "id": "2305.03372", "version": "v1", "published": "2023-05-05T09:01:17.000Z", "updated": "2023-05-05T09:01:17.000Z", "title": "Operads, homotopy theory and higher categories in algebraic quantum field theory", "authors": [ "Marco Benini", "Alexander Schenkel" ], "comment": "18 pages. Invited contribution to the Encyclopedia of Mathematical Physics 2nd edition", "categories": [ "math-ph", "hep-th", "math.AT", "math.MP" ], "abstract": "This chapter provides a non-technical overview and motivation for the recent interactions between algebraic quantum field theory (AQFT) and rather abstract mathematical disciplines such as operads, model categories and higher categories.", "revisions": [ { "version": "v1", "updated": "2023-05-05T09:01:17.000Z" } ], "analyses": { "subjects": [ "81Txx", "18Mxx", "18Nxx" ], "keywords": [ "algebraic quantum field theory", "higher categories", "homotopy theory", "model categories", "abstract mathematical disciplines" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }