Operads, homotopy theory and higher categories in algebraic quantum field theory
Marco Benini, Alexander Schenkel
TL;DR
This paper explores the connections between algebraic quantum field theory and advanced mathematical structures like operads, model categories, and higher categories, highlighting recent interdisciplinary developments.
Contribution
It offers a non-technical overview and motivation for integrating operads and higher categorical methods into AQFT research.
Findings
Identifies key mathematical tools relevant to AQFT
Highlights recent interdisciplinary research trends
Provides motivation for future mathematical approaches in AQFT
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models