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dc.contributor.authorCalixto Molina, Manuel 
dc.date.accessioned2008-10-28T12:39:33Z
dc.date.available2008-10-28T12:39:33Z
dc.date.issued2006-02
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.identifier.issn0393-0440
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 manifolds.es
dc.formatapplication/pdf
dc.language.isoenges
dc.publisherElsevier Sciencees
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.titleGeneralized W∞ Higher-Spin Algebras and Symbolic Calculus on Flag Manifoldses
dc.typeinfo:eu-repo/semantics/articlees
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
dc.identifier.urihttp://hdl.handle.net/10317/507
dc.identifier.uriarXiv:hep-th/0301200v3
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess


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