Clifford lattices and a conformal generalization of Desargues' theorem

摘要

Lattices composed of Clifford point-circle configurations provide a geometric representation of the discrete Schwarzian KP (dSKP) equation. Based on an A _n perspective on such lattices, it is shown that their integrability, and hence that of the dSKP equation, is a consequence of a conformal generalization of the classical Desargues theorem of projective geometry.