--- title: "Parafermionic Reductions of WZW Model • CBPF Index" description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community." canonical_url: "https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb489" locale: en meta: "og:description": "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community." "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Parafermionic%2BReductions%2Bof%2BWZW%2BModel%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~Si5GLiBHb21lczsgRy5NLiBTb3Rrb3Y7IEEuSC4gWmltZXJtYW4%2Cdetalhe_1998%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI0ODki%2Cs_cHxBLd3GCq3N6XXw.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "Parafermionic Reductions of WZW Model • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Parafermionic%2BReductions%2Bof%2BWZW%2BModel%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~Si5GLiBHb21lczsgRy5NLiBTb3Rrb3Y7IEEuSC4gWmltZXJtYW4%2Cdetalhe_1998%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI0ODki%2Cs_cHxBLd3GCq3N6XXw.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Physics Note****Published** # **Parafermionic Reductions of WZW Model** **J.F. Gomes; G.M. Sotkov; A.H. Zimerman** 1998 [**Download PDF **0.5 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb489/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Parafermionic%20Reductions%20of%20WZW%20Model) ## **Publication details**
Authors
J.F. Gomes; G.M. Sotkov; A.H. Zimerman
Type
Physics Note
Status
Published
Publication date
1998
Description
We investigate a class of conformal Non-Abelian-Toda models representing a noncompact <math>SL(2,R)/U(1)\,\!</math> parafermionions (PF) interacting with a specific abelian Toda theories and having a global U(1) symmetry. A systematic derivation of the conserved currents, their algebras and the exact solution of these models is presented. An important property of this class of models is the affine <math>SL(2,R)_q\,\!</math> algebra spanned by charges of the chiral and antichiral nonlocal currents and the U(1) charge. The classical (Poisson Brackets) algebras of symmetries <math>V{G_n}\,\!</math> of these models appears to be of mixed <math>PF- W{G_n}\,\!</math> type. They contain together with the local quadratic terms specific for the <math>W_n\,\!</math> -algebras the nonlocal terms similar to the ones of the classical PF-algebra. The renormalization of the spins of the nonlocal currents is the main new feature of the quantum <math>V{A_n}\,\!</math> -algebras. The quantum <math> V{A_2}\,\!</math> -algebra and its degenerate representations are studied in detail.
Year
1998
Number
CBPF-NF-019/98
Linked to a thesis
No
Linked to a grant
No
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