A+ CATEGORY SCIENTIFIC UNIT

Supercomplex structures, surface soliton equations, and quasiconformal mappings

Volume 55 / 1991

Julian Ławrynowicz, Katarzyna Kędzia, Osamu Suzuki 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 (

Authors

  • Julian Ławrynowicz
  • Katarzyna Kędzia
  • Osamu Suzuki

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