Classical results and recent developments on the theoretical description of elementary
particles with “continuous” spin are reviewed. At free level, these fields are described by …

A bstract We classify and relate unitary irreducible representations (UIRs) of the Carroll and
dipole groups, ie, we define elementary quantum Carroll and fracton particles and establish …

In the general setting of twisted second quantization (including Bose/Fermi second
quantization, S-symmetric Fock spaces, and full Fock spaces from free probability as special …

Rindler wedges are fundamental localization regions in AQFT. They are determined by the
one-parameter group of boost symmetries fixing the wedge. The algebraic canonical …

Various aspects of the geometric setting of Algebraic Quantum Field Theory (AQFT) models
related to representations of the Poincaré group can be studied for general Lie groups …

We provide a rigorous, explicit formula for the vacuum relative entropy of a coherent state on
wedge local von Neumann algebras associated with a free, neutral quantum field theory on …

We compute the vacuum local modular Hamiltonian associated with a space ball region in
the free scalar massless Quantum Field Theory. We give an explicit expression on the one …

We consider the algebras generated by observables in quantum field theory localized in
regions in the null plane. For a scalar free field theory, we show that the one-particle …

A bstract String-localized quantum fields transforming in Wigner's infinite-spin
representations were originally introduced in [18, 19]. We construct these fields as limits of …

Let B be a spacetime region of width 2R> 0, and\phi a vector state localized in B. We show
that the vacuum relative entropy of\phi, on the local von Neumann algebra of B, is bounded …