Algebraic approach to parafermionic conformal field theories

Published 22 February 2007 Published under licence by IOP Publishing Ltd
, , Citation Boris Noyvert JHEP02(2007)074 DOI 10.1088/1126-6708/2007/02/074

1126-6708/2007/02/074

Abstract

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)2/u(1)2 coset system.

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10.1088/1126-6708/2007/02/074