Quantum deformations of singletons and of free zero-mass fields |
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| Authors: | M Flato L K Hadjiivanov I T Todorov |
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| Institution: | (1) Physique Mathématique, Université de Bourgogne, B.P. 138, 21004 Dijon Cedex, France;(2) Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, BG-1784 Sofia, Bulgaria |
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| Abstract: | We consider quantum deformations of the real symplectic (or anti-De Sitter) algebra sp(4),   spin(3, 2) and of its singleton and (4-dimensional) zero-mass representations. For q a root of –1, these representations admit finite-dimensional unitary subrepresentations. It is pointed out that Uq
(sp(4, )), unlike Uq
(su(2, 2)), contains Uq
(sl
2
) as a quantum subalgebra.To Asim Barut, with all our friendship. |
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