Eine neue Laboratoriumsfilterpresse

LIGHTFRONT FORMALISM VERSUS HOLOGRAPHY&CHIRAL SCANNING

“…Modular intersections play an analogous role in the construction of 3-and higher-dimensional AQFT starting from a finite set of wedge algebras [27] and the related holographic isomorphisms as the modular inclusions used in section 3 for the 2-dimensional case.…”

Modular origin of chiral diffeomorphisms and their fuzzy analogs in higher-dimensional quantum field theories

“…For certain special localization region of algebras, namely in case of massive theories for a noncompact wedge region W instead of a compact double cone (and for massless theories which lead to conformal invariance even in case of a double cone O), the modular transformation ∆ it O,Ω with respect to the vacuum becomes a local Lorentz boost (or a special conformal transformation). In that case one learns that in Poincaré (or conformal) transformations well-known from the quantization of Noether's theorem can also be generated from a finite number of modular symmetries; in fact for d > 1 + 1 they are the only geometric modular symmetries [4]. In fact the inverse mapping of the holographic isomorphism in the illustration (attached after references) would automatically carry chiral symmetries which are not pure diffeomorphisms but also involve charge measuring currents (as e.g.…”