QFT Models Research Articles

Modular invariant QFT models of u(1) conformal current algebra

Local field representations of the U(1) chiral conformal current algebra are considered. They correnpond to the Virasoro central charge c=1. The locality condition singles out a denumerable set of models with basic charged fields of U(10 charge g = ± n , n = 1, 2, … . Modular invariant partition functions are constructed for all such models. The level-1 su(2) theory and the extended N = 2 super Virasoro model (for c = 1) are special cases.