Search results for "Affine variety"

showing 2 items of 2 documents

On Chiral Quantum Superspaces

2011

We give a quantum deformation of the chiral Minkowski superspace in 4 dimensions embedded as the big cell into the chiral conformal superspace. Both deformations are realized as quantum homogeneous superspaces: we deform the ring of regular functions together with a coaction of the corresponding quantum supergroup.

PhysicsRing (mathematics)High Energy Physics::LatticeConformal mapSupersymmetryQUANTUM GROUPSSuperspaceGeneral Relativity and Quantum CosmologyHigh Energy Physics::TheoryTheoretical physicsNonlinear Sciences::Exactly Solvable and Integrable SystemsMathematics::Quantum AlgebraQuantum mechanicsMinkowski spaceAffine varietySUPERSYMMETRYSupergroupQuantum
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ON THE DEFORMATION QUANTIZATION OF AFFINE ALGEBRAIC VARIETIES

2004

We compute an explicit algebraic deformation quantization for an affine Poisson variety described by an ideal in a polynomial ring, and inheriting its Poisson structure from the ambient space.

High Energy Physics - TheoryFunction field of an algebraic varietyMathematics::Commutative AlgebraGeneral MathematicsFOS: Physical sciencesFísicaAlgebraic varietyDimension of an algebraic varietyAlgebraic cycleAlgebraGröbner basisHigh Energy Physics - Theory (hep-th)DEFORMATION QUANTIZATIONMathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)Affine transformationAffine varietyMathematicsSingular point of an algebraic varietyInternational Journal of Mathematics
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