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Article overview
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A nonabelian square root of abelian vertex operators | K. Frieler
; K.-H. Rehren
; | Date: |
6 May 1997 | Journal: | J.Math.Phys. 39 (1998) 3073-3090 | Subject: | hep-th | Affiliation: | Hamburg University | Abstract: | Kadanoff’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. | Source: | arXiv, hep-th/9705033 | Services: | Forum | Review | PDF | Favorites |
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