Parafermionic chiral algebra Z3 with the dimension of the principal parafermion fields ψ(z), ψ+(z), Δψ=8/3
We analyze, and prove, the associativity of the new Z3 parafermionic chiral algebra which has been announced some time ago, with principal parafermionic fields having the conformal dimension Δψ=8/3. In doing so we have developed a new method for analyzing the associativity of a given chiral algebra...
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Published in | Nuclear physics. B Vol. 863; no. 1; pp. 130 - 212 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
01.10.2012
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Online Access | Get full text |
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Summary: | We analyze, and prove, the associativity of the new Z3 parafermionic chiral algebra which has been announced some time ago, with principal parafermionic fields having the conformal dimension Δψ=8/3. In doing so we have developed a new method for analyzing the associativity of a given chiral algebra of parafermionic type, the method which might be of a more general significance than a particular conformal field theory studied in detail in this paper. Still, even in the context of our particular chiral algebra, of Z3 parafermions with Δψ=8/3, the new method allowed us to give a proof of associativity which we consider to be complete. |
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ISSN: | 0550-3213 1873-1562 |
DOI: | 10.1016/j.nuclphysb.2012.05.020 |