  In this paper we study the large-N limits of the integrable N-state chiral
Potts model. Three chiral solutions of the star-triangle equations are derived,
with states taken from all integers, or from a finite or infinite real
interval. These solutions are expected to be chiral-field lattice deformations
of parafermionic conformal field theories. A new two-sided hypergeometric
identity is derived as a corollary.
