%0 Journal Article 
%A Calixto Molina, Manuel
%T Promoting finite to infinite symmetries: the 3 + 1-dimensional analogue of  the Virasoro algebra and higher-spin fields
%D 2000
%@ 0217-7323
%U http://hdl.handle.net/10317/505
%U arXiv:hep-th/0102111v3
%X Infinite enlargements of finite pseudo-unitary symmetries are explicitly provided in this letter. The particular case of u(2, 2) ≃ so(4, 2)⊕u(1) constitutes a (Virasoro-like) infinitedimensional
generalization of the 3 + 1-dimensional conformal symmetry, in addition to
matter fields with all conformal spins. These algebras provide a new arena for integrable
field models in higher dimensions; for example, Anti-de Sitter and conformal gauge
theories of higher-so(4, 2)-spin fields. A proposal for a non-commutative geometrical
interpretation of space is also outlined.
%K Matemática Aplicada
%K Simetria Infinita
%K Teoría Cuántica de Campos
%K Gravedad inducida
%K Integrabilidad
%K Espacios no conmutativos
%~ GOEDOC, SUB GOETTINGEN