Singletons and their maximal symmetry algebras - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2012

Singletons and their maximal symmetry algebras

Résumé

Singletons are those unitary irreducible modules of the Poincare or (anti) de Sitter group that can be lifted to unitary modules of the conformal group. Higher-spin algebras are the corresponding realizations of the universal enveloping algebra of the conformal algebra on these modules. These objects appear in a wide variety of areas of theoretical physics: AdS/CFT correspondence, electric-magnetic duality, higher-spin multiplets, infinite-component Majorana equations, higher-derivative symmetries, etc. Singletons and higher-spin algebras are reviewed through a list of their many equivalent definitions in order to approach them from various perspectives. The focus of this introduction is on the symmetries of a singleton: its maximal algebra and the manifest realization thereof.

Dates et versions

hal-00878936 , version 1 (31-10-2013)

Identifiants

Citer

Xavier Bekaert. Singletons and their maximal symmetry algebras. 6th MATHEMATICAL PHYSICS MEETING: Summer School and Conference on Modern Mathematical Physics, Sep 2010, Belgrade, Bulgaria. page 20. ⟨hal-00878936⟩
109 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More