Higher Structures in Algebraic Quantum Field Theory

Abstract

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.

arXiv comment28 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018

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Cited by in corpus (13)

• Linear Yang-Mills theory as a homotopy AQFT
• Homological perspective on edge modes in linear Yang-Mills and Chern-Simons theory
• Categorification of algebraic quantum field theories
• Snowmass White Paper: The Quest to Define QFT
• Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory
• Strictification theorems for the homotopy time-slice axiom
• Relative Cauchy evolution for linear homotopy AQFTs
• Homotopy theory of net representations
• Spacetimes categories and disjointness for algebraic quantum field theory
• Classical BV formalism for group actions
• On the equivalence of AQFTs and prefactorization algebras
• The linear CS/WZW bulk/boundary system in AQFT
• Gluing algebraic quantum field theories on manifolds