Harmonic spinors from twistors and potential forms

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Ertem U.

JOURNAL OF MATHEMATICAL PHYSICS, vol.59, no.11, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 59 Issue: 11
  • Publication Date: 2018
  • Doi Number: 10.1063/1.5028183
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • TED University Affiliated: Yes

Abstract

Symmetry operators of twistor spinors and harmonic spinors can be constructed from conformal Killing-Yano (CKY) forms. Transformation operators relating twistors to harmonic spinors are found in terms of potential forms. These constructions are generalized to gauged twistor spinors and gauged harmonic spinors. The operators that transform gauged twistor spinors to gauged harmonic spinors are found. Symmetry operators of gauged harmonic spinors in terms of CKY forms are obtained. Algebraic conditions to obtain solutions of the Seiberg-Witten equations are discussed. Published by AIP Publishing.