Physics NotePublished
Parafermionic Reductions of WZW Model
J.F. Gomes; G.M. Sotkov; A.H. Zimerman
1998
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