On a Relation Between Twistors and Killing Spinors

Özgür Açık

doi:10.17776/csj.434630

TR EN

On a Relation Between Twistors and Killing Spinors

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.

Keywords

Clifford Algebras and Spinors,Twistors,Killing-Yano forms,Killing spinors

References

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[40]. Confusion with the Riemann curvature R tensor should be avoided.
[41]. The properties associated to these projectors are given at the Appendix A of [1].

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Özgür Açık ^*
Türkiye

Publication Date

December 24, 2018

Submission Date

June 19, 2018

Acceptance Date

November 13, 2018

Published in Issue

Year 2018 Volume: 39 Number: 4

DOI

https://doi.org/10.17776/csj.434630

IZ

https://izlik.org/JA28LK68PU

APA

Açık, Ö. (2018). On a Relation Between Twistors and Killing Spinors. Cumhuriyet Science Journal, 39(4), 954-969. https://doi.org/10.17776/csj.434630

AMA

1.Açık Ö. On a Relation Between Twistors and Killing Spinors. CSJ. 2018;39(4):954-969. doi:10.17776/csj.434630

Chicago

Açık, Özgür. 2018. “On a Relation Between Twistors and Killing Spinors”. Cumhuriyet Science Journal 39 (4): 954-69. https://doi.org/10.17776/csj.434630.

EndNote

Açık Ö (December 1, 2018) On a Relation Between Twistors and Killing Spinors. Cumhuriyet Science Journal 39 4 954–969.

IEEE

[1]Ö. Açık, “On a Relation Between Twistors and Killing Spinors”, CSJ, vol. 39, no. 4, pp. 954–969, Dec. 2018, doi: 10.17776/csj.434630.

ISNAD

Açık, Özgür. “On a Relation Between Twistors and Killing Spinors”. Cumhuriyet Science Journal 39/4 (December 1, 2018): 954-969. https://doi.org/10.17776/csj.434630.

JAMA

1.Açık Ö. On a Relation Between Twistors and Killing Spinors. CSJ. 2018;39:954–969.

MLA

Açık, Özgür. “On a Relation Between Twistors and Killing Spinors”. Cumhuriyet Science Journal, vol. 39, no. 4, Dec. 2018, pp. 954-69, doi:10.17776/csj.434630.

Vancouver

1.Özgür Açık. On a Relation Between Twistors and Killing Spinors. CSJ. 2018 Dec. 1;39(4):954-69. doi:10.17776/csj.434630

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On a Relation Between Twistors and Killing Spinors

Twistörler ve Killing Spinörleri Arasındaki Bir Ilişki Üzerine

Abstract

Keywords

On a Relation Between Twistors and Killing Spinors

Abstract

Keywords

References

Details

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Acceptance Date

Published in Issue

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