By E.S. Fradkin, Mark Ya. Palchik
Our leading difficulty during this e-book is to debate a few finest prosppcts that experience happened lately in conformally invariant quantum box idea in a D-diuwnsional area. essentially the most promising traits is developing an pxact resolution for a cprtain classification of types. This job seems fairly possible within the mild of contemporary resllits. the placement here's to some degree just like what used to be happening long ago ypars with the two-dimensional quantum box concept. Our research of conformal Ward identities in a D-dimensional area, performed as some distance hack because the overdue H. J7Gs, confirmed that during the D-dimensional quantum box concept, without reference to the kind of interartion, there exists a unique set of states of the sector with the subsequent estate: if we rpqllire that the sort of states should still vanish, this determines a precise resolution of three. convinced box version. those states are analogous to null-vectors which verify the minimum types within the two-dimensional box conception. nonetheless, the new resparches provided us with a couple of symptoms at the existencp of an intinite-parampter algebra analogous to the Virasoro algebra in areas of upper dimensions D 2: :~. It has additionally been proven that this algebra admits an operator rentral growth. it kind of feels to us that the above-mentioned versions are box theoretical realizations of the representations of those new symmetries for D 2: ;3.