View source for Useful conversions and formulas for air dispersion modeling

{{Refimprove|date=February 2013}}
The '''chiral Potts curve''' is an [[algebraic curve]] defined over the [[complex number]]s that occurs in the study of the [[chiral Potts model]] of [[statistical mechanics]]. For an integer ''N'', the parameters in the [[Boltzmann weight]]s of the model are constrained to lie on the intersection of two [[algebraic surface]]s of degree ''N'' in [[complex projective space|projective 3-space]].

The equation is
<math>x^N+y^N=k(1+x^N y^N)</math>.

The curve has been known since papers published in 1987 and 1988. It has [[genus (mathematics)|genus]] that is quadratic in ''N''.

==External links==

* [http://wwwmaths.anu.edu.au/research.reports/mrr/99/029/MRR99-029.pdf PDF paper by Brian Davies and Amnon Neeman]

[[Category:Algebraic curves]]
[[Category:Exactly solvable models]]