Algebraic approach to parafermionic conformal field theories
Boris Noyvert
TL;DR
This paper develops an algebraic framework for parafermionic conformal field theories, introducing a new algebra for the sl(2|1)/u(1)^2 coset system and analyzing free fermion systems with parafermionic relations.
Contribution
It presents a generalized Jacobi identity and introduces a novel parafermionic conformal algebra for the sl(2|1)/u(1)^2 coset system.
Findings
New parafermionic conformal algebra introduced
Detailed analysis of free fermion systems with parafermionic relations
Generalized Jacobi identity established
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)/u(1)^2 coset system.
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