International Journal of Modern Physics A · 1990 · 54 citations · 0 references
Natural SciencesMathematicsPhysicsAlgebraRepresentation TheoryGauge TheoryGroup TheoryLie AlgebrasLie GroupsModular FormsQuantum Field TheoryLie Algebra So(3)Lie Algebra TheoryLie Group So(3)Lie SuperalgebrasRepresentation Theory Of Lie AlgebrasUnitary OperatorsUnitary RepresentationsUnitary Transformations
The representation theory of the SO(3) invariant superconformal algebra is discussed. The necessary and sufficient condition of unitarity, the Kac determinants, the character formulae for unitary representations and their modular transformation laws are obtained under some assumptions.