6533b7ddfe1ef96bd127536b
RESEARCH PRODUCT
BASIC TWIST QUANTIZATION OF osp(1|2) AND κ-DEFORMATION OF D = 1 SUPERCONFORMAL MECHANICS
Jerzy LukierskiAndrzej BorowiecV. N. Tolstoysubject
High Energy Physics - TheoryNuclear and High Energy PhysicsFOS: Physical sciencesGeneral Physics and AstronomyHigh Energy Physics::TheoryQuantization (physics)Mathematics::Quantum AlgebraMathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)Representation Theory (math.RT)TwistMathematics::Representation TheoryQuantumMathematical PhysicsPhysicsAstronomy and AstrophysicsMathematical Physics (math-ph)SupersymmetryFunction (mathematics)MechanicsSuperalgebraSymmetry (physics)High Energy Physics - Theory (hep-th)Superconformal algebraMathematics - Representation Theorydescription
The twisting function describing a nonstandard (super-Jordanian) quantum deformation of $osp(1|2)$ is given in explicite closed form. The quantum coproducts and universal R-matrix are presented. The non-uniqueness of the twisting function as well as two real forms of the deformed $osp(1|2)$ superalgebras are considered. One real quantum $osp(1|2)$ superalgebra is interpreted as describing the $\kappa$-deformation of D=1, N=1 superconformal algebra, which can be applied as a symmetry algebra of N=1 superconformal mechanics.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-01-07 | Modern Physics Letters A |