6533b873fe1ef96bd12d55c3
RESEARCH PRODUCT
Quantum deformations of singletons and of free zero-mass fields
L. K. HadjiivanovIvan T. TodorovMoshé Flatosubject
Quantum mechanicsSubalgebraGeneral Physics and AstronomyQuantum algebraLie groupQuantum field theoryMathematics::Representation TheorySL2(R)QuantumMathematicsSpin-½Symplectic geometryMathematical physicsdescription
We consider quantum deformations of the real symplectic (or anti-De Sitter) algebra sp(4), ℝ ≅ 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, ℝ)), unlike Uq(su(2, 2)), contains Uq(sl2) as a quantum subalgebra.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-04-01 | Foundations of Physics |