Smooth 1-dimensional algebraic quantum field theories

Marco Benini, Marco Perin, Alexander Schenkel
October 26, 2020
algebraic quantum field theory, stacks of categories, vertical geometry of fiber bundles, smoothly parametrized differential equations
open access link

Scaling limits of lattice quantum fields by wavelets

Vincenzo Morinelli, Gerardo Morsella, Alexander Stottmeister, Yoh Tanimoto
October 21, 2020
algebraic quantum field theory, scaling limit, Quantum field theory on lattices, renormalization group methods, Wavelet theory
open access link doi:10.1007/s00220-021-04152-5 article file

Covariant homogeneous nets of standard subspaces

Vincenzo Morinelli, Karl-Hermann Neeb
October 14, 2020
algebraic quantum field theory, nets of standard subspaces, Lie groups, representation theory, Bisognano-Wichmann property
open access link doi:10.1007/s00220-021-04046-6 article file

Injective tensor products in strict deformation quantization

Simone Murro, Christiaan J. F. van de Ven
October 07, 2020
Strict deformation quantization, injective tensor product, minimal C ˚ -norm, resolvent algebras, quantum spin system, Heisenberg model, Ising model, Curie-Weiss model.
open access link Math Phys Anal Geom 25, 2 (2022) article file

Realization of rigid C*-bicategories as bimodules over type II$_1$ von Neumann algebras

Luca Giorgetti, Wei Yuan
October 02, 2020
open access link Adv. Math. 415 (2023) 108886

Distortion for multifactor bimodules and representations of multifusion categories

Marcel Bischoff, Ian Charlesworth, Samuel Evington, Luca Giorgetti, David Penneys
October 02, 2020
open access link

Bulk-boundary asymptotic equivalence of two strict deformation quantizations

Valter Moretti, Christiaan J.F. van de Ven
October 01, 2020
open access link