Solving the Ward Identities of Irrational Conformal Field Theory

Simple item page
dc.creatorHalpern, M. B.
dc.creatorObers, N. A.
dc.date1993-05-17
dc.date1993-06-11
dc.date.accessioned2026-07-07T11:14:43Z
dc.date.available2026-07-07T11:14:43Z
dc.descriptionThe affine-Virasoro Ward identities are a system of non-linear differential equations which describe the correlators of all affine-Virasoro constructions, including rational and irrational conformal field theory. We study the Ward identities in some detail, with several central results. First, we solve for the correlators of the affine-Sugawara nests, which are associated to the nested subgroups $g\supset h_1 \supset \ldots \supset h_n$. We also find an equivalent algebraic formulation which allows us to find global solutions across the set of all affine-Virasoro constructions. A particular global solution is discussed which gives the correct nest correlators, exhibits braiding for all affine-Virasoro correlators, and shows good physical behavior, at least for four-point correlators at high level on simple $g$. In rational and irrational conformal field theory, the high-level fusion rules of the broken affine modules follow the Clebsch-Gordan coefficients of the representations.
dc.description45 pages, Latex, UCB-PTH-93/18, LBL-34111, BONN-HE-93/17. We factorize the biconformal nest correlators of the first version, obtaining the conformal correlators of the affine-Sugawara nests on g/h_1/.../h_n
dc.identifierhttps://arxiv.org/abs/hep-th/9305072
dc.identifierhttp://arxiv.org/abs/hep-th/9305072
dc.identifierInt.J.Mod.Phys.A9:419-460,1994
dc.identifierdoi:10.1142/S0217751X94000200
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192165
dc.subjectHigh Energy Physics - Theory
dc.titleSolving the Ward Identities of Irrational Conformal Field Theory
dc.typetext

Files

Collections

arXiv