Review of twisted Poincaré symmetry

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