Parafermionic character formulae

Details Parafermionic character formulae Parafermionic character formulae

2000-06-29

arxiv.org/abs/hep-th/0006233v1

Nucl.Phys. B587 (2000) 514-542

Physics

High Energy Physics

High Energy Physics - Theory

Harvmac (b mode : 37 p)

Scientific paper

10.1016/S0550-3213(00)00454-5

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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