Search results for "N = 2 superconformal algebra"

showing 3 items of 3 documents

Kac-Moody group representations and generalization of the Sugawara construction of the Virasoro algebra

1988

We discuss the dynamical structure of the semidirect product of the Virasoro and affine Kac-Moody groups within the framework of a group quantization formalism. This formalism provides a realization of the Virasoro algebra acting on Kac-Moody Fock states which generalizes the Sugawara construction. We also give an explicit construction of the standard Kac-Moody group representations associated with strings on SU(2) and recover, in particular, the ‘renormalization’ β factor of L(z)

Quantum affine algebraPure mathematicsSemidirect productCurrent algebraStatistical and Nonlinear PhysicsUniversal enveloping algebraGroup algebraN = 2 superconformal algebraAlgebraHigh Energy Physics::TheoryMathematics::Quantum AlgebraAlgebra representationVirasoro algebraMathematics::Representation TheoryMathematical PhysicsMathematicsLetters in Mathematical Physics
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Galilean Superconformal Symmetries

2009

We consider the non-relativistic c -> \infty contraction limit of the (N=2k)- extended D=4 superconformal algebra su(2,2;N), introducing in this way the non-relativistic (N=2k)-extended Galilean superconformal algebra. Such a Galilean superconformal algebra has the same number of generators as su(2,2|2k). The usp(2k) algebra describes the non-relativistic internal symmetries, and the generators from the coset u(2k)/usp(2k) become central charges after contraction.

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsFOS: Physical sciencesMathematical Physics (math-ph)N = 2 superconformal algebraGalileanHigh Energy Physics::TheoryHigh Energy Physics - Theory (hep-th)Internal symmetryConformal symmetryQuantum electrodynamicsHomogeneous spaceCosetSuperconformal algebraMathematical PhysicsMathematical physics
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The enveloping algebra of the Lie superalgebra osp(1,2)

1990

International audience

Algebra and Number Theory[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]010102 general mathematicsCurrent algebraUniversal enveloping algebraLie superalgebraN = 2 superconformal algebra01 natural sciencesAffine Lie algebraSuper-Poincaré algebraGraded Lie algebraLie conformal algebra[ MATH.MATH-RT ] Mathematics [math]/Representation Theory [math.RT]Algebra0103 physical sciences010307 mathematical physics0101 mathematicsMathematics::Representation TheoryComputingMilieux_MISCELLANEOUSMathematics
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