Supercomplex structures, surface soliton equations, and quasiconformal mappings
Volume 55 / 1991
Annales Polonici Mathematici 55 (1991), 245-268
DOI: 10.4064/ap-55-1-245-268
Abstract
Hurwitz pairs and triples are discussed in connection with algebra, complex analysis, and field theory. The following results are obtained: (i) A field operator of Dirac type, which is called a Hurwitz operator, is introduced by use of a Hurwitz pair and its characterization is given (Theorem 1). (ii) A field equation of the elliptic Neveu-Schwarz model of superstring theory is obtained from the Hurwitz pair (
