Algebraic approach to parafermionic conformal field theories
classification
✦ hep-th
cond-mat.mes-hallmath-phmath.MPmath.RT
keywords
parafermionicconformalalgebraicfieldtheoriestypealgebraapproach
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Parafermionic conformal field theories are considered on a purely algebraic basis. The generalized Jacobi type identity is presented. Systems of free fermions coupled to each other by nontrivial parafermionic type relations are studied in detail. A new parafermionic conformal algebra is introduced, it describes the sl(2|1)/u(1)^2 coset system.
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