Show simple item record

dc.contributor.authorCalixto Molina, Manuel
dc.identifier.citationMANUEL CALIXTO, Manuel. Generalized W∞ Higher-Spin Algebras and Symbolic Calculus on Flag Manifolds. Journal of Geometry and Physics, 56 (2): 143-174, Febrero 2006. ISSN 0393-0440es
dc.description.abstractWe study a new class of infinite-dimensional Lie algebras W1(N+,N−) generalizing the standard W1 algebra, viewed as a tensor operator algebra of SU(1, 1) in a grouptheoretic framework. Here we interpret W1(N+,N−) either as an infinite continuation of the pseudo-unitary symmetry U(N+,N−), or as a “higher-U(N+,N−)-spin extension” of the diffeomorphism algebra diff(N+,N−) of the N = N++N− torus U(1)N. We highlight this higher-spin structure of W1(N+,N−) by developing the representation theory of U(N+,N−) (discrete series), calculating higher-spin representations, coherent states and deriving K¨ahler structures on flag manifolds. They are essential ingredients to define operator symbols and to infer a geometric pathway between these generalized W1 symmetries and algebras of symbols of U(N+,N−)-tensor operators. Classical limits (Poisson brackets on flag manifolds) and quantum (Moyal) deformations are also discussed. As potential applications, we comment on the formulation of diffeomorphism-invariant gauge field theories, like gauge theories of higher-extended objects, and non-linear sigma models on flag
dc.publisherElsevier Sciencees
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.titleGeneralized W∞ Higher-Spin Algebras and Symbolic Calculus on Flag Manifoldses
dc.subject.otherMatemática Aplicadaes
dc.subjectSimetria Visasoro y W∞es
dc.subjectBerezin y Cuantización geométricaes
dc.subjectOperador de símboloes
dc.subjectDiformismo invariante QFTes
dc.subjectVisasoro symmetry and W ∞
dc.subjectBerezin and geometric quantization
dc.subjectOperator symbol
dc.subjectDeformity invariant QFT

Files in this item


This item appears in the following Collection(s)

Show simple item record

Atribución-NoComercial-SinDerivadas 3.0 España
Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 España