Parafermionic character formulae

P. Jacob; P. Mathieu

doi:10.1016/s0550-3213(00)00454-5

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arXiv · hep-th/0006233

Parafermionic character formulae

P. Jacob·P. Mathieu

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Abstract

We study various aspects of parafermionic theories such as the precise field content, a description of a basis of states (that is, the counting of independent states in a freely generated highest-weight module) and the explicit expression of the parafermionic singular vectors in completely irreducible modules. This analysis culminates in the presentation of new character formulae for the $Z_N$ parafermionic primary fields. These characters provide novel field theoretical expressions for $\su(2)$ string functions.

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P. Jacob, P. Mathieu. 2000-06-29. Parafermionic character formulae. https://doi.org/10.1016/s0550-3213(00)00454-5

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