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Three-dimensional singletons
Christian FronsdalMoshé Flatosubject
Introduction to gauge theoryHamiltonian lattice gauge theorySupersymmetric gauge theoryLattice field theoryStatistical and Nonlinear PhysicsGeometryMathematical PhysicsGauge anomalyBRST quantizationGauge symmetryMathematicsGauge fixingMathematical physicsdescription
The three-dimensional analog of singleton gauge theory turns out to be related to the topological gauge theory of Schwartz and Witten. It is a fully-fledged gauge theory, though it involves only a single scalar field. Real, physical degrees of freedom propagate in 3-space, but they are ‘confined’ in the sense that they cannot be detected locally. The physical Hamiltonian density is not zero, but it is concentrated on the boundary at spatial infinity. This boundary surface, a torus, supports a two-dimensional conformal field theory.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1990-07-01 | Letters in Mathematical Physics |