Review of twisted Poincare symmetry

Balachandran A., Kürkcüoğlu S., Vaidya S.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, vol.232, no.23-24, pp.3761-3769, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Review
  • Volume: 232 Issue: 23-24
  • Publication Date: 2023
  • Doi Number: 10.1140/epjs/s11734-023-00836-2
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC
  • Page Numbers: pp.3761-3769
  • Middle East Technical University Affiliated: Yes


This article reviews the construction and some applications of twisted Poincare-covariant quantum fields on the Moyal plane. The Drinfel'd twist, which plays a key mathematical role in this construction, is then applied to the case of discrete groups, with a view to applications to geons in quantum gravity. The Poincare-twisted fields can also be applied to study the CMB anisotropies, and corrections to the power spectrum are used to put constraints on spacetime noncommutativity. The article also addresses the issue of the difference between Moyal and Voros quantum fields. Finally, it is pointed out that the Euclidean functional integrals of QFTs on the Moyal plane do not, in general, obey reflection positivity.