Algebraic approach to parafermionic conformal field theories

Details Algebraic approach to parafermionic conformal field theories Algebraic approach to parafermionic conformal field theories

2006-02-26

arxiv.org/abs/hep-th/0602273v3

JHEP 0702:074,2007

Physics

High Energy Physics

High Energy Physics - Theory

15 pages; v2: 22 pages, essential modifications, added sections and references; v3: published version, minor modifications, ty

Scientific paper

10.1088/1126-6708/2007/02/074

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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