Extended superalgebras from twistor and Killing spinors

Ertem Ü.

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, cilt.54, ss.236-244, 2017 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.difgeo.2017.04.002
  • Dergi Adı: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.236-244
  • Anahtar Kelimeler: Killing spinors, Twistor spinors (Conformal) Killing-Yano forms, Superalgebras
  • Ankara Üniversitesi Adresli: Evet

Özet

The basic first-order differential operators of spin geometry that are Dirac operator and twistor operator are considered. Special types of spinors defined from these operators such as twistor spinors and Killing spinors are discussed. Symmetry operators of massless and massive Dirac equations are introduced and relevant symmetry operators of twistor spinors and Killing spinors are constructed from Killing-Yano (KY) and conformal Killing-Yano (CKY) forms in constant curvature and Einstein manifolds. The squaring map of spinors gives KY and CKY forms for Killing and twistor spinors, respectively. They constitute a graded Lie algebra structure in some special cases. By using the graded Lie algebra structure of KY and CKY forms, extended Killing and conformal superalgebras are constructed in constant curvature and Einstein manifolds. (C) 2017 Elsevier B.V. All rights reserved.