0000000000984767

AUTHOR

Ivan T. Todorov

showing 2 related works from this author

Finite Braid Groups for the SU(2) Knizhnik Zamolodchikov Equation

1995

We consider the monodromy representations of the mapping class group B 4 of the 2-sphere with 4 punctures acting in the solutions space of the zu(2) Knizhnik-Zamolodchikov equation [3] (note that the monodromy representations of the braid group have a more general geometric definition [4]).

AlgebraHigh Energy Physics::TheoryMonodromyMathematics::Quantum AlgebraBraid groupSpace (mathematics)Special unitary groupMapping class groupMathematicsKnizhnik–Zamolodchikov equations
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Quantum deformations of singletons and of free zero-mass fields

1993

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.

Quantum mechanicsSubalgebraGeneral Physics and AstronomyQuantum algebraLie groupQuantum field theoryMathematics::Representation TheorySL2(R)QuantumMathematicsSpin-½Symplectic geometryMathematical physicsFoundations of Physics
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