Journal of Lie Theory 35 (2025), No. 4, 879--908
Copyright Heldermann Verlag 2025
A Geometric Perspective on Algebraic Quantum Field Theory
Vincenzo Morinelli
Dipartimento di Matematica, Università di Roma "Tor Vergata", Roma, Italy
morinell@mat.uniroma2.it
We give a streamlined overview of some of the recent constructions provided with K.-H. Neeb, G. Olafsson and collaborators for a new geometric approach to Algebraic Quantum Field Theory. Motivations, fundamental concepts and some of the relevant results about the abstract structure of these models are here presented.
Keywords: Lie theory, Euler element, Algebraic Quantum Field Theory, Tomita-Takesaki theory, Modular Hamiltonian, Standard subspace, causal symmetric space.
MSC: 22D10, 81T05.
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