A nonabelian square root of abelian vertex operators

dc.creatorFrieler, K.
dc.creatorRehren, K. -H.
dc.date1997-05-06
dc.date1997-05-26
dc.date.accessioned2026-07-07T11:36:04Z
dc.date.available2026-07-07T11:36:04Z
dc.descriptionKadanoff's "correlations along a line" in the critical two-dimensional Ising model (1969) are reconsidered. They are the analytical aspect of a representation of abelian chiral vertex operators as quadratic polynomials, in the sense of operator valued distributions, in non-abelian exchange fields. This basic result has interesting applications to conformal coset models. It also gives a new explanation for the remarkable relation between the "doubled" critical Ising model and the free massless Dirac theory. As a consequence, analogous properties as for the Ising model order/disorder fields with respect both to doubling and to restriction along a line are established for the two-dimensional local fields with chiral level 2 SU(2) symmetry.
dc.description22 pages, AMS-TeX, minor improvements
dc.identifierhttps://arxiv.org/abs/hep-th/9705033
dc.identifierhttp://arxiv.org/abs/hep-th/9705033
dc.identifierJ.Math.Phys.39:3073-3090,1998
dc.identifierdoi:10.1063/1.532240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198799
dc.subjectHigh Energy Physics - Theory
dc.titleA nonabelian square root of abelian vertex operators
dc.typetext

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