6533b85ffe1ef96bd12c0f2b
RESEARCH PRODUCT
Deformation of current algebras in 3+1 dimensions
Jouko MickelssonS. G. Rajeevsubject
High Energy Physics::TheoryPure mathematicsCurrent (mathematics)Linear algebraLie algebraCurrent algebraAbelian extensionStatistical and Nonlinear PhysicsAnomaly (physics)Quantum field theoryUnitary stateMathematical PhysicsMathematicsdescription
It was shown in an earlier paper that there is an Abelian extension \(\widehat{{\text{gl}}}_2 \) of the general linear algebra gl2, that contains the current algebra with anomaly in 3+1 dimensions. We construct a three-parameter family of deformations \(\widetilde{{\text{gl}}}_2 (t)\) of \(\widehat{{\text{gl}}}_2 \). For certain choices of the deformation parameters, we can construct unitary representations. We also construct highest-weight nonunitary representations for all choices of the parameters.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1991-02-01 | Letters in Mathematical Physics |