Promoting finite to infinite symmetries: the 3+1-dimensional analogue of the Virasoro algebra and higher-spin fields
Calixto, M.
arXiv, 0002109 / Harvested from arXiv
Text on arXiv
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) infinite-dimensional 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.
Publié le : 2000-02-14
Classification:  High Energy Physics - Theory,  Mathematical Physics 
@article{0002109,
     author = {Calixto, M.},
     title = {Promoting finite to infinite symmetries: the 3+1-dimensional analogue of
  the Virasoro algebra and higher-spin fields},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002109}
}

Calixto, M. Promoting finite to infinite symmetries: the 3+1-dimensional analogue of
  the Virasoro algebra and higher-spin fields. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002109/