English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

There is a surge of research devoted to the formalism and physicalmanifestations of non-Lorentzian kinematical symmetries, which focusesespecially on the ones associated with the Galilei and Carroll relativisticlimits (the speed of light taken to infinity or to zero, respectively). Theinvestigations have also been extended to quantum deformations of theCarrollian and Galilean symmetries, in the sense of (quantum) Hopf algebras.The case of 2+1 dimensions is particularly worth to study due to both themathematical nature of the corresponding (classical) theory of gravity, and therecently finalized classification of all quantum-deformed algebras of spacetimeisometries. Consequently, the list of all quantum deformations of (anti-)deSitter-Carroll algebra is immediately provided by its well-known isomorphismwith either Poincar\'{e} or Euclidean algebra. Quantum contractions from the(anti-)de Sitter to (anti-)de Sitter-Carroll classification allow to almostcompletely recover the latter. One may therefore conjecture that the analogouscontractions from the (anti-)de Sitter to (anti-)de Sitter-Galilei $r$-matricesprovide (almost) all coboundary deformations of (anti-)de Sitter-Galileialgebra. This scheme is complemented by deriving (Carrollian and Galilean)quantum contractions of deformations of Poincar\'{e} algebra, leading tocoboundary deformations of Carroll and Galilei algebras.

Quantum symmetries in 2+1 dimensions: Carroll, (a)dS-Carroll, Galilei and (a)dS-Galilei