On a Relation Between Twistors and Killing Spinors

Journal Title: Cumhuriyet Science journal - Year 2018, Vol 39, Issue 4

Abstract

Inspiring from the consequence of constructing conformal Killing-Yano forms out of Killing-Yano forms and closed conformal Killing-Yano forms, this work includes a method for building up twistors from Killing spinors which can be analogously interpreted as the quantum electrodynamical pair annihilation process in background gravitational fields. The former consequence is easily verified if one introduces a new defining differential equation for (possibly inhomogeneous) Killing-Yano forms which is free from auxiliary vector fields, as is done in this text. From this point of view a neat relation between the symmetry operators of massive and massless Dirac equation is also introduced. Some other physical interpretations are also included.

Authors and Affiliations

Özgür AÇIK

Keywords

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  • EP ID EP488430
  • DOI 10.17776/csj.434630
  • Views 64
  • Downloads 0

How To Cite

Özgür AÇIK (2018). On a Relation Between Twistors and Killing Spinors. Cumhuriyet Science journal, 39(4), 954-969. https://europub.co.uk/articles/-A-488430