Algebraic approach to parafermionic conformal field theories
High Energy Physics - Theory
2010-10-27 v3 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Representation Theory
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.
Cite
@article{arxiv.hep-th/0602273,
title = {Algebraic approach to parafermionic conformal field theories},
author = {Boris Noyvert},
journal= {arXiv preprint arXiv:hep-th/0602273},
year = {2010}
}
Comments
15 pages; v2: 22 pages, essential modifications, added sections and references; v3: published version, minor modifications, typos fixed