0000000000991595

AUTHOR

Veeravalli S. Varadarajan

showing 2 related works from this author

The Minkowski and conformal superspaces

2006

We define complex Minkowski superspace in 4 dimensions as the big cell inside a complex flag supermanifold. The complex conformal supergroup acts naturally on this super flag, allowing us to interpret it as the conformal compactification of complex Minkowski superspace. We then consider real Minkowski superspace as a suitable real form of the complex version. Our methods are group theoretic, based on the real conformal supergroup and its Lie superalgebra.

High Energy Physics - TheoryPure mathematicsFOS: Physical sciencesReal formFísicaStatistical and Nonlinear PhysicsConformal mapLie superalgebraMathematical Physics (math-ph)Mathematics - Rings and AlgebrasSuperspaceHigh Energy Physics::TheoryGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)Rings and Algebras (math.RA)Mathematics::Quantum AlgebraMinkowski spaceSupermanifoldFOS: MathematicsCompactification (mathematics)Mathematics::Representation TheorySupergroupMathematical PhysicsMathematics
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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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