Spin raising and lowering operators for Rarita-Schwinger fields

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AÇIK Ö., Ertem U.

PHYSICAL REVIEW D, vol.98, no.6, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 98 Issue: 6
  • Publication Date: 2018
  • Doi Number: 10.1103/physrevd.98.066004
  • Journal Name: PHYSICAL REVIEW D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • TED University Affiliated: Yes

Abstract

Spin raising and lowering operators for massless field equations constructed from twistor spinors are considered. Solutions of the spin-3/2 massless Rarita-Schwinger equation from source-free Maxwell fields and twistor spinors are constructed. It is shown that this construction requires Ricci-flat backgrounds due to the gauge invariance of the massless Rarita-Schwinger equation. Constraints to construct spin raising and lowering operators for Rarita-Schwinger fields are found. Symmetry operators for Rarita-Schwinger fields via twistor spinors are obtained.